Selected Publications

  • Operator-Valued Measures, Dilations, and the Theory of Frames (84 pages, with D. Larson, B. Liu and R. Liu), Memoirs  Amer. Math. Soc.,   Vol. 229, No.  1075 (2014).
  • Frames, bases and group representations (94 pages, with D. Larson),    Memoirs  Amer. Math. Soc.,   697(2000).
  • Dilations for operator-valued quantum measures (with Q. Hu, A. Larson and R. Liu), Adv. Math., 438(2024), 109476.
  • On common fundamental domains (with D. Dutkay, P. Jorgensen and G. Picioroaga), Adv. Math.,  239(2013), 109–127
  • On the Beurling dimension of exponential frames (with  D. Dutkay,  Q. Sun and E. Weber),  Adv.  Math.,  226 ( 2011) 285–297
  • On the spectra of a Cantor measure (with D. Dutkay, Q. Sun),   Adv.  Math.,   221, No.1 (2009), 251–276 
  • Lattice tiling and Weyl-Heisenberg frames (with W. Yang),    Geometric and Functional Analysis (known as GAFA),  11(2001), 742-758.
  • Orthonormal dilations of Parseval wavelets (with D. Dutkay, G. Picioroaga, Q. Sun),   Math.  Ann.,  341(2008), 483–515
  • Continuous and Discrete Fourier Frames for Fractal Measures (with D. Dutkay and E. Weber),   Trans. Amer. Math. Soc., 366(2014), 1213–1235
  • Divergence of the mock and scrambled Fourier series on fractal measures (with D. Dutkay and Q. Sun),   Trans. Amer. Math. Soc.,  366(2014), 2191–2208
  • Frame representations and Parseval duals with applications to Gabor frames, Trans. Amer. Math. Soc.,  360(2008), 3307–3326
  • Approximations for Gabor and wavelet frames,  Trans. Amer. Math. Soc.,  355 (2003), 3329—3342
  • Wandering vector multipliers for unitary groups (with D. Larson),  Trans. Amer. Math. Soc.,   353(2001)3347-3370.
  • Wandering vectors for irrational rotation unitary systems,  Trans. Amer. Math. Soc.,, 350(1998), 309-320
  • Frame duality properties for projective unitary representations (with D. Larson),  Bull. London Math. Soc.,   40(2008), 685–695
  • Extensions of  operators (with D. Larson, Z. Pan and W. Wogen),   Indiana  Univ.  J.  Math.,  53(2004),   1151–1169
  • Determination of compactly supported functions in shift-invariant space by single-angle Radon samples (with S. Fan and Y. Li),  J. Funct. Anal.,  285(2023), 110151
  • Gabor single-frame and multi-frame multipliers in any given dimension (with Y. Diao and Z. Li),  J. Funct. Anal. ,   280(2021), 108960
  • Dilations of operator-valued measures with bounded p-variations and framings on Banach spaces (with D. Larson and R. Liu) , J. Funct. Anal., 274(2018), 1466 –1490
  • Continuous framings for Banach spaces (with F. Li and P.  Li),  J. Funct. Anal., 271(4) 2016, 992–1021
  • Dilations for systems of imprmimitivity acting on Banach spaces (with Larson, B. Liu and R. Liu), J. Funct. Anal. , 266(12), 2014, 6914–6937
  • Linearly connected sequences and spectrally optimal frames for erasures (with S. Pehlivan and R. Mohapatra),  J. Funct. Anal. ,  265(2013), 2855–2876
  • Lattice titling and density conditions for subspace Gabor frames (with J-P. Gabardo and Y. Li),  J. Funct. Anal. , 265(2013), 1170–1189
  • Bessel sequences of exponentials on fractal measures (with  D. Dutkay and E. Weber),  J. Funct. Anal. , 261 (2011), 2529–2539
  • Wavelet frames for (not necessarily reducing) affine subspaces II: The structure of affine subspaces (with Q. Gu), J. Funct. Anal. , 260(2011), 1615–1636
  • Orthogonal exponentials, translations, and Bohr completions (with D. Dutkay and Palle Jorgensen ), J. Funct. Anal. ,  257 (2009), 2999–3019
  • A duality principle for groups ( with D. Dutkay and  D. Larson),   J. Funct. Anal. ,  257, No.4 ( 2009), 1133–1143
  • Frames for ICC groups (with D. Dutkay, G. Picioroaga),   J. Funct. Anal.,  256, No. 9 (2009), 3071–3090
  • The existence of tight Gabor duals for Gabor frames and subspace Gabor frames, J. Funct. Anal.,  256, No. 1(2009), 129–148
  • FROG-measurement based phase retrieval for analytic signals (with Y. Li and Y. Ma), Appl. Comput. Harm. Anal., 55(2021), 199-222
  • Erasure recovery matrices for encoder (with D. Larson, S. Scholze and W. Sun), Appl. Comput. Harm. Anal., 48(2020), 766-786
  • Recovery of Signals from Unordered Partial Frame Coefficients (with F. Lv and W. Sun), Appl. Comput. Harm. Anal., 44(2018), 38–58
  • Matrix Fourier multipliers for Parseval multi-wavelet frames (with Z. Li), Appl. Comp. Harm. Anal.,   35(2013), 407–418
  • Topological and geometric properties of refinable functions and MRA affine frames (with  Q. Sun and W. Tang)  Appl. Comp. Harm. Anal.,   30(2011), 151–174
  • Wavelet Frames for (not necessarily reducing) Affine Subspaces (with Q. Gu),  Appl. Comp. Harm. Anal.,    27(2009),  47–54
  • When a characteristic function generates a Gabor frame (with Q. Gu),   Appl. Comp. Harm. Anal.,  24(2008), 190–309
  • The uniqueness of the dual of Weyl-Heisenberg subspace frames (with J-P. Gabardo)),  Appl. Comp. Harm. Anal.,  17(2004), 226–240 .
  • The Balian-Low theorem for symplectic lattices in higher dimensions (with K. Grochenig,  C. Heil and G. Kutyniok),  Appl. Comp. Harm. Anal.,13 (2002), 169-176.
  • A duality principle for groups II: Multi-frames meet super-frames  (with R Balan, D Dutkay, D D Larson, F Luef),  Journal of Fourier Anal. Appl.,   26 (6) (2020), 1-19.
  • Frame phase-retrievability and exact phase-retrieval frames (with T. Juste. Y. Liu and W. Sun),  J. Fourier Anal. Appl., 25(2019), 3154–3173
  • Phase retrievable projective representation frames for finite abelian groups (with J. Brennan, C. Cheng, T. Juste  and L. Li),  J. Fourier Anal. Appl.,  25(2019), 86-100.
  • Dilations and completions for Gabor systems,  J.  Fourier Anal. Appl.,  15 (2009),  201–217
  • Super-wavelets and decomposable wavelet frames (with Q. Gu),  J.  Fourier Anal. Appl.,   11(2005), 683–696
  • Wavelets with frame multiresolution analysis (with X. Dai, Y. Diao and Q. Gu)   J.  Fourier Anal.  Appl.,  9(2003), 39-48
  • Subspace Weyl-Heisenberg frames (with J-P Gabardo),  J. Fourier Anal.  Appl., 7(2001), 419-433.
  • On multiresolution analysis wavelets in R^n (with Q. Gu),   J. Fourier Anal.  Appl.,  247 (1999) 149-182.
  • Basic properties of wavelets,  J.  Fourier Anal.  Appl., (a member of Wutam Consortium), 4(1998)575-59
  • Reconstruction of signals from frame coefficients with erasures at unknown locations (with Wenchang Sun),  IEEE Trans. Information Theory,  60(2014), no. 7, 4013–4025
  • Optimal Dual Frames for Communication Coding with Probabilistic Erasures (with J. Leng and T. Huang), IEEE Trans. Signal Processing, 59 (2011), 5380–5389
  •  Phase retrieval from multiple-window short-time Fourier measurements (with Lan Li, Cheng Cheng, Qiyu Sun and Guangming Shi),  IEEE Signal Processing Letters, 24(2017), 372–376

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