{"id":132,"date":"2016-09-16T08:14:30","date_gmt":"2016-09-16T12:14:30","guid":{"rendered":"https:\/\/sciencescosmaincms.cm.ucf.edu\/math\/qsun\/?page_id=132"},"modified":"2016-09-16T08:14:30","modified_gmt":"2016-09-16T12:14:30","slug":"publications-by-research-topic","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/qsun\/publications\/publications-by-research-topic\/","title":{"rendered":"Publications (by Research Topic)"},"content":{"rendered":"<h3>Sampling<\/h3>\n<ul>\n<li>Qiyu Sun, <strong>Recovery of sparsest signals via $\\ell^q$-minimization, <\/strong>submitted <a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sparserecovery_web.pdf\">(Download)<\/a><\/li>\n<li>Qiyu Sun, <strong>Local reconstruction for sampling in shift-invariant space, <\/strong><em>Advances in Computational Mathematics,<\/em> 32(2010), 335\u2014352. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm08_final.pdf\"> Download<\/a>)<\/li>\n<li>M. Zuhair Nashed and Qiyu Sun,\u00a0 <strong>Sampling<\/strong><strong> and reconstruction of signals in a reproducing kernel subspace of L^p(R^d)<\/strong><strong>, <\/strong><em>Journal of Functional Analysis, <\/em>258(2010), 2422-2452. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sampling_rkhs_web.pdf\"> Download<\/a>)<\/li>\n<li>M. Zuhiar Nashed, Qiyu Sun and Wai-Shing Tang, <strong>Average sampling in L^2 <\/strong>, <em>C. Acad. Sci. Paris, Ser I<\/em>,\u00a0 347(2009), 1007\u20141010. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/averagesampling09.pdf\"> Download <\/a>)<\/li>\n<li>Deguang Han, M. Zuhiar Nashed, and Qiyu Sun, <strong>Sampling expansions in reproducing kernel Hilbert and Banach spaces <\/strong>, <em>Numerical Functional Analysis and Optimization<\/em>, 30(2009), 971-987. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Samp_RKHS_09web.pdf\"> Download <\/a>)<\/li>\n<li>Ning Bi, M. Zuhair Nashed, and Qiyu Sun, <strong>Reconstructing signals with finite rate of innovation from noisy samples,<\/strong> <em>Acta<\/em><em> Applicandae Mathematicae, <\/em>107(2009), 339&#8211;372. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/bns_acap09.pdf\"> Download<\/a>)<\/li>\n<li>Akram Aldroubi, Casey Leonetti, Qiyu Sun, <strong>Error analysis of frame reconstruction from noisy samples, <\/strong><em>IEEE Transcations on Signal Processing, <\/em>56(2008), 2311&#8211;2325. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ieee07_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Frames in spaces with finite rate of innovation, <\/strong><em>Advances in Computational Mathematics,<\/em> 28(2008), 301-329. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm06_final.pdf\"> Download<\/a>)<\/li>\n<li>C. K. Chui and Qiyu Sun, <strong>Tight over-sampled affine frame system and over-sampling rates<\/strong>, <em>Applied and Computational Harmonic Analysis,<\/em> 22(2007), 1&#8211;15. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/oversampling_revised.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Non-uniform average sampling and reconstruction of signals with finite rate of innovation<\/strong>, <em>SIAM Journal of Mathematical Analysis<\/em> 38(2006), 1389&#8211;1422. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ave_sampling_web.pdf\"> Download <\/a>)<\/li>\n<li>Akram Aldroubi, Qiyu Sun, Wai-Shing Tang, <strong>Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces<\/strong> <em>Journal of Fourier Analysis and Applications<\/em>, 22(2005), 215 &#8211; 244. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/san15.pdf\"> Download<\/a>)<\/li>\n<li>Akram Aldroubi, Qiyu Sun and Wai-Shing Tang <strong>Non-uniform average sampling and reconstruction in multiply generated shift-invariant spaces<\/strong>, <em>Constr. Approx.<\/em>, 20(2004), 173&#8211;189. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/astca.pdf\"> Download<\/a>)<\/li>\n<li>C. K. Chui and Qiyu Sun,<strong> Tight frame oversampling and its equivalenceto shift-invariance of affine frame operators<\/strong>, <em>Proc. Amer. Math. Soc.<\/em>, 131(2003), 1527-1538. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/cs03.pdf\">Download<\/a>)<\/li>\n<li>A. Aldroubi, Qiyu Sun and W.-S. Tang, <strong>Localization of Calderon convolution in the Fourier domain <\/strong>, <em>Advance in Constructive Approximation, Vanderbilt 2003 <\/em>, Edited by: M. Neamtu and E. B. Saff, Nashboro Press, Brentwood, 2004. pp. 25&#8211;35. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Issp6.pdf\">Download<\/a>)<\/li>\n<li>Akram Aldroubi, Qiyu Sun and Wai-shing Tang,<strong> Non-uniform sampling in multiply generated shift-invariant subspaces of L^p(R^d),<\/strong> <em>International Conference on Wavelet Analysis and its Applications<\/em>(edited by D. Deng, D. Huang, R.-Q. Jia, W. Lin and J.-Z. Wang),AMS\/IP Studies in Advanced Mathematics, 25(2002), 1-8.<\/li>\n<li>Daren Huang, Youming Liu and Qiyu Sun, <strong>Some extension of Paley-Wiener theorem,<\/strong> <em>Chinese Annual of Math.<\/em>, 19B(1998), 331-340.<\/li>\n<li>Ning Bi and Qiyu Sun, <strong>Hermite<\/strong><strong> interpolation and stability of scalingfunctions,<\/strong> <em>J. Hangzhou Normal University<\/em>, 1995.<\/li>\n<li>Qiyu Sun, <strong>Multiplier extension and sampling theorem on Hardy space, <\/strong><em>Publicacions<\/em><em> Matematiques,<\/em> 38(1994), 441-454.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/pubmat94.pdf\"> Download<\/a>)<\/li>\n<\/ul>\n<h3>Affine frames<\/h3>\n<ul>\n<li>Deguang Han, Qiyu Sun and Wai-Shing Tang, <strong>Topological and geometric properties of refinable functions and MRA affine frames,\u00a0 <\/strong><em>Applied and Computational Harmonic Analysis<\/em>, accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/HST2010_web.pdf\">Download<\/a>)<\/li>\n<li>C. K. Chui and Qiyu Sun, <strong>Tight over-sampled affine frame system and over-sampling rates<\/strong>, <em>Applied and Computational Harmonic Analysis,<\/em> 22(2007), 1&#8211;15. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/oversampling_revised.pdf\">Download<\/a>)<\/li>\n<li>C. K. Chui and Qiyu Sun, <strong>Affine frame decompositions and shift-invariant spaces, <\/strong><em>Applied and Computational Harmonic Analysis,<\/em> 20(2006), 74&#8211;107. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Frame8.pdf\"> Download<\/a>)<\/li>\n<li>D. Hardin, T. Hogan and Qiyu Sun, <strong>The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces<\/strong>, <em>Adv. Comput. Math.<\/em>, 20(2004), 367-384. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/hhsaicm.pdf\">Download<\/a>)<\/li>\n<li>C. K. Chui, W. He, J. Stoeckler and Qiyu Sun, <strong>Compactly supported tight affine frames with integer dilations and maximum vanishing moments <\/strong>,<em> Adv. Comp. Math.<\/em>, Special Issue on Frames, 18(2003), 159-187. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/chss.pdf\">Download<\/a>)<\/li>\n<li>C. K. Chui and Qiyu Sun,<strong> Tight frame oversampling and its equivalenceto shift-invariance of affine frame operators<\/strong>, <em>Proc. Amer. Math. Soc.<\/em>, 131(2003), 1527-1538. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/cs03.pdf\">Download<\/a>)<\/li>\n<\/ul>\n<h3>Signal processing<\/h3>\n<ul>\n<li>Qiyu Sun and Michael Unser, <strong>Left-inverse of fractional Laplacian and sparse stochastic processes<\/strong>, <em>Advances in Computational Mathematic,<\/em> accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/fractionalspline_web.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Recovery of sparsest signals via $\\ell^q$-minimization, <\/strong>submitted <a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sparserecovery_web.pdf\">(Download)<\/a><\/li>\n<li>Qiyu Sun, <strong>Local reconstruction for sampling in shift-invariant space, <\/strong><em>Advances in Computational Mathematics,<\/em> 32(2010), 335\u2014352. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm08_final.pdf\"> Download<\/a>)<\/li>\n<li>M. Zuhair Nashed and Qiyu Sun,\u00a0 <strong>Sampling and reconstruction of signals in a reproducing kernel subspace of L^p(R^d)<\/strong><strong>, <\/strong><em>Journal of Functional Analysis, <\/em>258(2010), 2422-2452. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sampling_rkhs_web.pdf\"> Download<\/a>)<\/li>\n<li>Ning Bi, M. Zuhair Nashed, and Qiyu Sun, <strong>Reconstructing signals with finite rate of innovation from noisy samples,<\/strong> <em>Acta<\/em><em> Applicandae Mathematicae, <\/em>107(2009), 339&#8211;372. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/bns_acap09.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Local reconstruction for sampling in shift-invariant space, <\/strong><em>Advances in Computational Mathematics,<\/em> To appear (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm08_final.pdf\"> Download<\/a>)<\/li>\n<li>Akram Aldroubi, Casey Leonetti, Qiyu Sun, <strong>Error analysis of frame reconstruction from noisy samples, <\/strong><em>IEEE Transcations on Signal Processing, <\/em>56(2008), 2311&#8211;2325. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ieee07_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Frames in spaces with finite rate of innovation, <\/strong><em>Advances in Computational Mathematics,<\/em> 28(2008), 301-329. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm06_final.pdf\"> Download<\/a>)<\/li>\n<li>X. Wang, Q. Sun, R. Eastes, B. Reinisch, C. E. Valladares, <strong>Short-term relationship of total electron content with geomagnetic activity in equatorial regions<\/strong>, <em>J.Geophys. Res.,<\/em> 113(2008), A11308. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/jgr_08.pdf\"> Download<\/a>)<\/li>\n<li>Ning Bi, Qiyu Sun, Daren Huang, Zhihua Yang and Jiwu Huang, <strong>Robust image watermarking based on multiband wavelets and empirical mode decomposition,<\/strong><em>IEEE Transactions on Image Processing. ,<\/em> 16(2007), 1956&#8211;1966. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/MEW_final.pdf\"> Download<\/a>)<\/li>\n<li>Charles A. Micchelli and Qiyu Sun, <strong>Interpolating filters with prescribed zeros and their refinable functions, <\/strong><em>Comm. Pure Appl. Anal.,<\/em> 6 (2007), 789&#8211;808. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/NewFilter3.pdf\">Download<\/a>)<\/li>\n<li>Yanfei Wang, Zaiwen Wen, Zuhair Nashed, and Qiyu Sun, <strong>On direct methods for time-limited signal and image reconstruction and enhancement<\/strong>, <em>International Journal of Wavelets, Multiresolution and Information Processing<\/em>, 5(2007), 51&#8211;68.<\/li>\n<li>Qiyu Sun, <strong>Non-uniform average sampling and reconstruction of signals with finite rate of innovation<\/strong>, <em>SIAM Journal of Mathematical Analysis<\/em> 38(2006), 1389&#8211;1422. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ave_sampling_web.pdf\"> Download <\/a>)<\/li>\n<li>B. G. Bodmann, M. Papadakis, and Qiyu Sun, <strong>An inhomogenous uncertainty principle for digital low-pass filters<\/strong>, <em>Journal of Fourier Analysis and Applications.<\/em>12(2006), 181&#8211;211. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Uh_final_web.pdf\"> Download <\/a>)<\/li>\n<li>Yanfei Wang, Zaiwen Wen, Zuhair Nashed, and Qiyu Sun, <strong>Direct fast method for time-limited signal reconstruction<\/strong>, <em>Applied Optics<\/em>, 45(2006), 3111&#8211;3126. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/appliedoptics_o6_web.pdf\">Download<\/a>)<\/li>\n<li>Lixin Shen and Qiyu Sun, <strong>Bi-orthogonal wavelet system for high-resolution image reconstruction <\/strong>, <em>IEEE Trans. Signal Processing<\/em>, 52(2004), 1997&#8211;2011. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/hrir.pdf\">Download<\/a>)<\/li>\n<\/ul>\n<h3>Multiband wavelets<\/h3>\n<ul>\n<li>Deguang Han, Qiyu Sun and Wai-Shing Tang, <strong>Topological and geometric properties of refinable functions and MRA affine frames, <\/strong><em>Applied and Computational Harmonic Analysis<\/em>, accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/HST2010_web.pdf\">Download<\/a>)<\/li>\n<li>Ning Bi, Qiyu Sun, Daren Huang, Zhihua Yang and Jiwu Huang, <strong>Robust image watermarking based on multiband wavelets and empirical mode decomposition,<\/strong><em>IEEE Transactions on Image Processing. ,<\/em> 16(2007), 1956&#8211;1966. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/MEW_final.pdf\"> Download<\/a>)<\/li>\n<li>Tim N. T. Goodman and Qiyu Sun, <strong>Total positivity and refinable functions with general dilation <\/strong>, <em>Applied and Computational Harmonic Analysis<\/em>, 16(2004), 69&#8211;89. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ripplet4.pdf\">Download<\/a>)<\/li>\n<li>Lixin Shen and Qiyu Sun, <strong>Bi-orthogonal wavelet system for high-resolution image reconstruction <\/strong>, <em>IEEE Trans. Signal Processing<\/em>, 52(2004), 1997&#8211;2011. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/hrir.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun,<strong> M-band scaling functions with minimal support are asymmetric,<\/strong> <em>Applied and Computational Harmonic Analysis<\/em>, 12(2002), 166-170. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sym.pdf\">Download<\/a>)<\/li>\n<li>Xinrong Dai, Daren Huang and Qiyu Sun, <strong>Local polynomial property and linear independence of refinable distributions, <\/strong><em>Archiv<\/em><em> Math.<\/em>, 78(2002), 74-80. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/dh1.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, Ning Bi and Daren Huang,<strong> An Introduction to Multiband Wavelets,<\/strong> <em>Zhejiang University Press, 2001.<\/em> (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/hbsbook.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun<strong> An algorithm for the construction of symmetric and anti-symmetric $M$-band wavelets,<\/strong> In: <em>Wavelet Applications in Signal and Image Processing VIII, Proceedings of SPIE 4119,<\/em> Akram Aldroubi, Andrew F. Laine, and Michael A. Unser eds., 2000, 384-394. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/wavecon5.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun,<strong>Sobolev<\/strong><strong> exponent estimate and asymptotic regularity of M band Daubechies&#8217; scaling functions, <\/strong><em>Constructive Approximation<\/em>, 15(1999),441-465.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/mregular.pdf\">Download,<\/a>)<\/li>\n<li>Ning Bi, Xinrong Dai and Qiyu Sun, <strong>Construction of compactly supported M band wavelets, <\/strong><em>Appl. Comp. Harmonic Anal.<\/em>, 6(1999), 113-131\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/BDS99.pdf\"> Download <\/a>)<\/li>\n<li>Xinrong Dai, Qiyu Sun and Zeyin Zhang, <strong>Compactly supported both <em>m<\/em> and <em>n<\/em> refinable distributions,<\/strong><em> East Journal of Approximations, 6(2000),201-209.<\/em>( <a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/dsz.pdf\">Download <\/a>)<\/li>\n<li>Qiyu Sun and Zeyin Zhang, <strong>A characterization of compactly supported both m and n refinable distribution,<em>J<\/em><\/strong><em>. Approx. Th.<\/em>, 99(1999),198-216.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/njat.pdf\"> Download <\/a>)<\/li>\n<li>Daren Huang and Qiyu Sun, <strong>Affine similarity of refinable functions,<em>ApproximationTheory<\/em><\/strong><em> and its Applications, 15(3)(1999), 81-91.<\/em>(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/inv.pdf\"> Download <\/a>)<\/li>\n<li>Qiyu Sun and Zeyin Zhang, <strong>M-band scaling function with filter having vanishing moments two and minimal length, <\/strong><em>J. Math. Anal. Appl.<\/em>,222(1998), 225-243.(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/jmaa98.pdf\">Download <\/a>)<\/li>\n<li>Xianliang Shi and Qiyu Sun, <strong>A class of M-dilation scaling functionswith regularity growing proportionally to filter support width, <\/strong><em>Proc.Amer<\/em><em>. Math. Soc.<\/em>, 126(1998), 3501-3506.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/mlinear.pdf\"> Download<\/a>)<\/li>\n<li>Ning Bi, Lokenath Debnath and Qiyu Sun, <strong>Asymptotic behaviour of M-bandscaling functions of Daubechies type,<\/strong> <em>Zeitschrift<\/em><em> fur Analysis undihe Anwendugen<\/em>, 17(1998), 813-830.<\/li>\n<li>Daren Huang, Qiyu Sun and Zeyin Zhang, <strong>Integral representation of M-band Daubechies type, <\/strong><em>Chinese Sciences Bulletin<\/em>, 42(1997), 803-807.<\/li>\n<li>Xinrong Dai, Daren Huang and Qiyu Sun, <strong>Some properties of five-coefficientrefinement equation,<\/strong> <em>Archiv<\/em><em> Math.<\/em>, 66(1996), 299-309.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/s946.pdf\"> Download <\/a>)<\/li>\n<\/ul>\n<h3>Shift-invariant spaces<\/h3>\n<ul>\n<li>Akram Aldroubi, Qiyu Sun and Haichao Wang, <strong>Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces<\/strong>,\u00a0 <em>Applied and Computational Harmonic Analysis,<\/em> accepted<\/li>\n<li>Deguang Han, Qiyu Sun and Wai-Shing Tang, <strong>Topological and geometric properties of refinable functions and MRA affine frames, <\/strong><em>Applied and Computational Harmonic Analysis<\/em>, accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/HST2010_web.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Local reconstruction for sampling in shift-invariant space, <\/strong><em>Advances in Computational Mathematics,<\/em> 32(2010), 335\u2014352. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm08_final.pdf\"> Download<\/a>)<\/li>\n<li>M. Zuhair Nashed and Qiyu Sun,\u00a0 <strong>Sampling and reconstruction of signals in a reproducing kernel subspace of L^p(R^d)<\/strong><strong>, <\/strong><em>Journal of Functional Analysis, <\/em>258(2010), 2422-2452. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/sampling_rkhs_web.pdf\"> Download<\/a>)<\/li>\n<li>Deguang Han, M. Zuhiar Nashed, and Qiyu Sun, <strong>Sampling expansions in reproducing kernel Hilbert and Banach spaces <\/strong>, <em>Numerical Functional Analysis and Optimization<\/em>, 30(2009), 971-987.(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Samp_RKHS_09web.pdf\"> Download <\/a>)<\/li>\n<li>Chang Eon Shin and Qiyu Sun, <strong>Stability of localized operators, <\/strong><em>Journal of Functional Analysis, <\/em>256(2009), 2417&#8211;2439. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/shinsun_08.pdf\"> Download<\/a>)<\/li>\n<li>Akram Aldroubi, Casey Leonetti, Qiyu Sun, <strong>Error analysis of frame reconstruction from noisy samples, <\/strong><em>IEEE Transcations on Signal Processing, <\/em>56(2008), 2311&#8211;2325. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/ieee07_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Frames in spaces with finite rate of innovation, <\/strong><em>Advances in Computational Mathematics,<\/em> 28(2008), 301-329. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm06_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Local dual and poly-scale refinability <\/strong>, <em>Proc. Amer. Math. Soc.<\/em>, 133(2005), 1175&#8211;1184. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/localdual.pdf\">Download<\/a>)<\/li>\n<li>D. Hardin, T. Hogan and Qiyu Sun, <strong>The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces<\/strong>, <em>Adv. Comput. Math.<\/em>, 20(2004), 367-384. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/hhsaicm.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Localization of Stability and p-frames in the Fourier domain <\/strong>, <em>Proceedings of Special Sessions on Wavelets: WAVELETS, FRAMES, and OPERATOR THEORY <\/em>, in AMS Contemporary Mathematics (CONM) series no. 345, Edited by: Christopher Heil, Palle E. T. Jorgensen, and David R. Larson, pp. 299&#8211;315, 2004. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/proc_baltimore.pdf\">Download<\/a>)<\/li>\n<li>A. Aldroubi, Qiyu Sun and W.-S. Tang, <strong>Localization of Calderon convolution in the Fourier domain <\/strong>, <em>Advance in Constructive Approximation, Vanderbilt 2003 <\/em>, Edited by: M. Neamtu and E. B. Saff, Nashboro Press, Brentwood, 2004. pp. 25&#8211;35. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/Issp6.pdf\">Download<\/a>)<\/li>\n<li>Akram Aldroubi and Qiyu Sun,<strong> Locally finite dimensional shift-invariant spaces in RR^d<\/strong>.<em> Proc. Amer. Math. Soc. <\/em>, 130 (2002), 2641-2654. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/si.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun,<strong>Linear<\/strong><strong> independence of the integer translates of compactly supported distributions,<\/strong> <em>Applied Math, A Journal of Chinese University, 16B(2001), 381-396.<\/em><\/li>\n<li>Akram Aldroubi, Qiyu Sun and Wai-Shing Tang,<strong> p-frames and shift invariant subspaces of L^p,<\/strong> <em>J. Fourier Anal. Appl., 7:1(2001), 1-21.<\/em> (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/pframe.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Stability of the shifts of global supported distributions,<\/strong><em> Journal of Mathematical Analysis and Applications, 261(2001), 113-125.<\/em> (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/jmaa.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun <strong>Linear dependence of the shifts of vector-valued compactly supported distributions <\/strong>Unpublished Manuscript, 2000 (Revised 2003) (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/Preprints\/dependent.pdf\"> Download<\/a>)<\/li>\n<li>Akram Aldroubi, Qiyu Sun and Wai-Shing Tang<strong> Connection between p-frames and p-Riesz bases in locally finite SIS ofL^p(R^d) <\/strong><em>Proceeding of SPIE 4119: Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine and M. A. Unser eds., SPIE, 2000, 668-674.<\/em><\/li>\n<li>Qiyu Sun, <strong>Sequence spaces and stability of integer translates,<em>Zeitschriftf<\/em><\/strong><em>\\&#8221;ur Analysis und ihre Anwendungen<\/em>, 12(1993), 567-584.<\/li>\n<li>Qiyu Sun, <strong>A note on the integer translates of a compactly supported distribution on $R$, <\/strong><em>Archiv<\/em><em> Math.<\/em>, 60(1993), 359-363.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/archivmath93.pdf\"> Download<\/a>)<\/li>\n<\/ul>\n<h3>Refinable functions<\/h3>\n<ul>\n<li>Deguang Han, Qiyu Sun and Wai-Shing Tang, <strong>Topological and geometric properties of refinable functions and MRA affine frames, <\/strong><em>Applied and Computational Harmonic Analysis<\/em>, accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/HST2010_web.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Local reconstruction for sampling in shift-invariant space, <\/strong><em>Advances in Computational Mathematics,<\/em> 32(2010), 335\u2014352. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/aicm08_final.pdf\"> Download<\/a>)<\/li>\n<li>Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga and Qiyu Sun, <strong>Orthonormal dilations of Parseval wavelets, <\/strong><em>Mathematische<\/em><em> Annalen, <\/em>341(2008), 483-515. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/dilws.pdf\">Download<\/a>)<\/li>\n<li>Charles A. Micchelli and Qiyu Sun, <strong>Interpolating filters with prescribed zeros and their refinable functions, <\/strong><em>Comm. Pure Appl. Anal.,<\/em> 6 (2007), 789&#8211;808. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/NewFilter3.pdf\">Download<\/a>)<\/li>\n<li>Xiaojie Gao, S. L. Lee and Qiyu Sun, <strong>Eigenvalues of scaling operators and a characterization of B-splines <\/strong>, <em>Proceeding of the American Mathematical Society<\/em>, 134(2006), 1051&#8211;1057.(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/scaling-subd-Bspline1.pdf\"> Download <\/a>)<\/li>\n<li>Qiyu Sun, <strong>Local dual and poly-scale refinability <\/strong>, <em>Proc. Amer. Math. Soc.<\/em>, 133(2005), 1175&#8211;1184. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/localdual.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Convergence of cascade algorithms and smoothness of refinable distributions<\/strong>, <em>Chinese Annals of Mathematics<\/em>, 24(2003), No. 3, 367-386. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/cascade.pdf\"> Download<\/a>)<\/li>\n<li>Charles A. Micchelli and Qiyu Sun,<strong> Refinable functions from their values at integers<\/strong>.<em> Vietnam J. Math.<\/em>, 30 (2002), 395-411. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/mics02.pdf\">Download<\/a>)<\/li>\n<li>Xiaojie Gao, S. L. Lee and Qiyu Sun, <strong>Spectrum of transition, subdivision and multiscale operators<\/strong>, In <em>Wavelet Analysis (Hong Kong 2001)<\/em> (edited by Ding-xuanZhou), World Science Publishing, 2002, pp. 123-138. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/gls02.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun,<strong> Homogeneous and nonhomogeneous refinable distributions in F^{q,gamma},<\/strong> <em>International Conference on Wavelet Analysis and its Applications<\/em>(edited by D. Deng, D. Huang, R.-Q. Jia, W. Lin and J.-Z. Wang), AMS\/IP Studies in Advanced Mathematics, 25(2002), 235-244.<\/li>\n<li>Ai-Hua Fan and Qiyu Sun, <strong>Regularity of Butterworth refinable functions, <\/strong><em>Asia J. Math.<\/em>, 5(2001), 433-440. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/asiamathj_01.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equation,<\/strong><em> Acta Math. Sinica, 17(2001), 1-14.<\/em>(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/existence.pdf\"> Download <\/a>)<\/li>\n<li>Qiyu Sun,<strong>Convergence<\/strong><strong> and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces: Part II <\/strong>, <em>Advance in Mathematics (China), 30(2001), 22-36.<\/em>. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/casii.pdf\">Download<\/a>)<\/li>\n<li>Daren Huang, Yunzhang Li and Qiyu Sun, <strong>Multivariate subdivision schemes in L^p spaces, <\/strong><em>Advance in Mathematics (China), 30(2001), 525-532.<\/em>.<\/li>\n<li>Seng Laun Lee, Qiyu Sun and Xiaojie Gao,<strong> Spectrum of convolution dilation operator on weighted L^p space,<\/strong> In <em>&#8220;Challenges for the 21st Century&#8221;, Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics, <\/em>edited by L H Y Chen, J P Jesudason, C H Lai, C H Oh, K K Phua and E-C Tan, World Scientific Press, 2001, pp. 51-72.(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/trans.pdf\">Download<\/a>)<\/li>\n<li>Seng Laun Lee and Qiyu Sun, <strong>Boundedness<\/strong><strong> of cascade algorithms in Besov spaces<\/strong>. <em>First International Congress of Chinese Mathematicians (Beijing, 1998)<\/em>,pp. 473&#8211;479, AMS\/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.<\/li>\n<li>Ka-Sing Lau and Qiyu Sun, <strong>Asymptotic regularity of Daubechies&#8217; scaling functions, <\/strong><em>Proceeding American Mathematical Society,\u00a0 128(2000),1087-1095.<\/em>(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/pams.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces, Part I,,<\/strong><em> Advance in Mathematics (China), 29(2000),507-526.<\/em>(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/casi.pdf\"> Download <\/a>)<\/li>\n<li>Bolin Ma and Qiyu Sun, <strong>Compactly supported refinable distribution inTriebel-Lizorkin spaces and Besov spaces,<\/strong><em> J. Fourier Anal. Appl.<\/em>,5(1999), 87-104.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/regular.pdf\">Download <\/a>)<\/li>\n<li>Daren Huang, Yunzhang Li and Qiyu Sun, <strong>Refinable<\/strong><strong> function and refinement mask with polynomialand exponential decay, <\/strong><em>Chinese Annal of Math.<\/em>, 20A(1999), 483-488. also <em>Chin. J. Contemp. Math.<\/em> 20(1999), No.3, 393-400<\/li>\n<li>Ning Bi and Qiyu Sun, <strong>Linear independence of refinable distributionssupported on $[0,2]\\times [0,2]$,<\/strong><em> Acta Math. Appl. Sinica(EnglishSer.)<\/em>, 14(1998), 388-395.<\/li>\n<li>Qiyu Sun, <strong>Nonhomogeneous refinement equation; Existence, regularity and biorthogonality, <\/strong>Unpublished Manuscript, 1998 (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/Preprints\/nonhomo.pdf\"> Download <\/a>)<\/li>\n<li>Daren Huang, Qiyu Sun and Wei Wang, <strong>Multiresolution<\/strong><strong> generated by severalscaling functions,<\/strong> <em>Advances in Mathematics (China)<\/em>, 26(1997),165-180.<\/li>\n<li>Qiyu Sun, <strong>Refinable<\/strong><strong> functions with compact support,<\/strong> <em>J. Approx.Theory<\/em>, 86(1996), 240-252.<\/li>\n<li>Yanzhang Zheng and Qiyu Sun, <strong>A compactly supported orthonormal wavelet of non-tensor type,<\/strong> <em>Applied Math.-JCU<\/em>, 11B(1996), 243-246.<\/li>\n<li>Xianliang Shi and Qiyu Sun, <strong>Cardinal refinable functions on plane,\u00a0<\/strong> Unpublished Manuscript, 1995. (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/Preprints\/S957.pdf\"> Download<\/a>)<\/li>\n<li>Albert Cohen and Qiyu Sun, <strong>An arithmetic characterization of the conjugatequadrature filters associated to orthonormal wavelet bases <\/strong>,<em> SIAMJ. Math. Anal.<\/em>, 24(1993), 1355-1360.<\/li>\n<li>Qiyu Sun, <strong>Two-scale difference equation: local and global linear independence, <\/strong>Unpublished Manuscript, 1991. (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/Preprints\/Local.pdf\"> Download <\/a>)<\/li>\n<\/ul>\n<h3>Fourier analysis<\/h3>\n<ul>\n<li>Dorin Ervin Dutkay, Deguang Han, Qiyu Sun, and Eric Weber, <strong>On the Beurling dimension of exponential frames<\/strong>, <em>Advances in Mathematics, <\/em>accepted (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/dhsw_web.pdf\">Download<\/a>)<\/li>\n<li>Dorin Ervin Dutkay, Deguang Han, and Qiyu Sun, <strong>On the spectra of a Cantor measure, <\/strong><em>Advances in Mathematics, <\/em>221(2009), 251&#8211;276. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/stspec.pdf\"> Download<\/a>)<\/li>\n<li>Guoen Hu, Qiyu Sun and Xin Wang, <strong>L^p<\/strong><strong>(R^n) bounds for commutators of convolution operators<\/strong>, <em>Colloquium Mathematicum<\/em>, 93(2002), 11-20.<\/li>\n<li>Guo-En Hu and Qiyu Sun, <strong>L^p<\/strong><strong>(R^n) boundedness for the commutators of convolution operators, <\/strong><em>Chinese Ann. Math. Ser. A, 22 (2001), 509&#8211;516.<\/em><\/li>\n<li>Guoen Hu, Bolin Ma and Qiyu Sun, <strong>Boundedness<\/strong><strong> of the multiple singular integral operators on product spaces, <\/strong><em>Hokkaido Math. J. 29 (2000), no. 3, 659&#8211;667.<\/em><\/li>\n<li>Li-Yuan Chen and Qiyu Sun, <strong>Behaviour<\/strong><strong> of an oscillatory singular integralon weighted local Hardy spaces, <\/strong><em>Acta<\/em><em> Math. Sinica (N.S.)<\/em>, 13(1997),305-320.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/chensun.pdf\"> Download <\/a>)<\/li>\n<li>Qiyu Sun, <strong>A new kind of space of Triebel-Lizorkin type, <\/strong><em>ApproximationTheory<\/em><em> and its Application<\/em>, 12:2(1996), 80-84.<\/li>\n<li>Quande Chen and Qiyu Sun, <strong>A note on uncertainty principle,<\/strong> <em>ApproximationTheory<\/em><em> and its Application<\/em>, 11(1995), No. 1, 6-9.<\/li>\n<li>Qiyu Sun, <strong>Multiplier extension and sampling theorem on Hardy space, <\/strong><em>Publicacions<\/em><em> Matematiques,<\/em> 38(1994), 441-454.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/pubmat94.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Weighted weak type (1, 1) boundedness for some rough operators, <\/strong><em>J.Hangzhou<\/em><em> University<\/em>, 21(1994), 7-10.<\/li>\n<li>Guoen Hu and Qiyu Sun, <strong>Weighted norm inequalities for a maximal operator,<\/strong><em>\u00a0J.Hangzhou University,<\/em> 20(1993), 367-370. (with Guoen Hu).<\/li>\n<li>Guoen Hu and Qiyu Sun, <strong>On the $L^p$ boundedness of a Marcinkiewicz integral, <\/strong><em>J.Hangzhou<\/em><em> University<\/em>, 20(1993), 145-158.<\/li>\n<li>Xianliang Shi and Qiyu Sun, <strong>Weighted norm inequalities for Bochner-Rieszoperators and singular integral operators,<\/strong> <em>Proc. Amer. Math. Soc.<\/em>,116(1992), 665-673.\u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/shisun.pdf\">Download <\/a>)<\/li>\n<li>Qiyu Sun, <strong>Weighted norm inequalities on spaces of homogeneous type,<em>StudiaMathematica<\/em><\/strong>, 101(1992), 241-251.<\/li>\n<li>Qiyu Sun, <strong>Pointwise<\/strong><strong> convergence of solutions of Schr\\&#8221;odinger equationwith potential, <\/strong><em>Acta<\/em><em> Mathematica Scientia<\/em>, 12(1992), 412-418.<\/li>\n<li>Qiyu Sun, <strong>Two problems about singular integral operator, <\/strong><em>Approximation Theory and its Application<\/em>, 7:2(1991), 83-98. (Reseach Announcement IN <em>J. Mathematical Research and Exposition<\/em>, 11(1991), 453-454.)<\/li>\n<li>Wei Hu, Xianliang Shi and Qiyu Sun, <strong>$A_\\infty$ condition characterizedby maximal geometric mean operator, <\/strong>IN <em>Harmonic Analysis, Proceeding,Tianjin, 1988<\/em>, Lecture Notes in Mathematics 1494, edited by Min-TehCheng, Xing-wei Zhou and Dong-Gao Deng, Springer Verlag, 1991, pp. 68-72.<\/li>\n<li>Qiyu Sun, <strong>Weighted inequalities for a singular integral, <\/strong><em>J. HangzhouUniversity<\/em>, 18(1991), 357-358.\u00a0 (Reseach Announcement)<\/li>\n<li>Xianliang Shi and Qiyu Sun, <strong>A singular integral on product space,IN<\/strong> <em>A Friendly Collection of Mathematical Papers I<\/em>, edited by WangRenhong &amp; Zhou Yunshi, Jilin University Press, Changchun, China, 1990,pp. 129-132.<\/li>\n<li>Qiyu Sun, <strong>A note on oscillatory integral on product space<\/strong>, <em>Journal of Hangzhou University <\/em>, 16(1989), 109-110. (Reseach Announcement)<\/li>\n<\/ul>\n<h3>Miscellaneous topics (Wiener&#8217;s Lemma, Riesz Lemma etc)<\/h3>\n<ul>\n<li>Qiyu Sun,<strong> Wiener\u2019s lemma for infinite matrices II, <\/strong><em>Constructive Approximation, <\/em>accepted \u00a0(<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/radicalwiener_web10.pdf\">Download<\/a>)<\/li>\n<li>Qiyu Sun,\u00a0 <strong>Stability criterion for convolution-dominated infinite matrices, <\/strong><em>Proceeding American Mathematical Sociey, <\/em>138(2010), 3933-2943 (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/stabilitycriterion_web.pdf\"> Download<\/a>)<\/li>\n<li>Chang Eon Shin and Qiyu Sun, <strong>Stability of localized operators, <\/strong><em>Journal of Functional Analysis, <\/em>256(2009), 2417&#8211;2439. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/shinsun_08.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Wiener&#8217;s lemma for localized integral operators, <\/strong><em>Applied and Computational Harmonic Analysis, <\/em>25(2008), 148-167. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/acha07_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Wiener&#8217;s lemma for infinite matrices,<\/strong> <em>Transactions of the American Mathematical Society <\/em>359 (2007), 3099&#8211;3123. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/tams06_final.pdf\"> Download<\/a>)<\/li>\n<li>Qiyu Sun, <strong>Wiener&#8217;s lemma for infinite matrices with polynomial off-diagonal decay <\/strong>, <em>C. Acad. Sci. Paris, Ser I<\/em>, 340(2005), 567-570. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/wiener3.pdf\"> Download <\/a>)<\/li>\n<li>D. Hardin, T. Hogan and Qiyu Sun, <strong>The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces<\/strong>, <em>Adv. Comput. Math.<\/em>, 20(2004), 367-384. (<a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/hhsaicm.pdf\">Download<\/a>)<\/li>\n<li>Albert Cohen, Luz Myriam Echeverry and Qiyu Sun <strong>Finite Element Wavelets, <\/strong>Unpublished Manuscript 1999. (<a href=\"http:\/\/www.math.ucf.edu\/~qsun\/Preprints\/finite.pdf\"> Download<\/a>)<\/li>\n<li>Xianliang Shi and Qiyu Sun, <strong>Approximation of periodic continuous functionsby logarithmic means of Fourier series, <\/strong><em>Acta<\/em><em> Math. Hungar.<\/em> 63(1994),103-112.<\/li>\n<li>Qiyu Sun, <strong>A remark on multiresolution analysis of $L^p(R^d)$,<\/strong> <em>ColloquiumMathematiccum<\/em>, LXVI(1994), 257-264.<\/li>\n<li>Daren Huang and Qiyu Sun, <strong>Some topics on wavelet analysis,<em>Appl.Math<\/em><\/strong><em>.-JCU<\/em>, 8(1993), 86-110.<\/li>\n<li>Qiyu Sun, <a href=\"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-content\/uploads\/sites\/10\/2016\/09\/iccha5_sun.pdf\">2014 Nashville(Recent talk)<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Sampling Qiyu Sun, Recovery of sparsest signals via $\\ell^q$-minimization, submitted (Download) Qiyu Sun, Local reconstruction for sampling in shift-invariant space, Advances in Computational Mathematics, 32(2010), 335\u2014352. ( Download) M. Zuhair Nashed and Qiyu Sun,\u00a0 Sampling and reconstruction of signals in a reproducing kernel subspace of L^p(R^d), Journal of Functional Analysis, 258(2010), 2422-2452. ( Download) M. [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":32,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-132","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/pages\/132","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/comments?post=132"}],"version-history":[{"count":0,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/pages\/132\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/pages\/32"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/media?parent=132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}