Selected Publications

  1. 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).
  2. Frames, bases and group representations (94 pages, with D. Larson),    Memoirs  Amer. Math. Soc.,   697(2000).
  3. Dilations for operator-valued quantum measures (with Q. Hu, A. Larson and R. Liu), Adv. Math., 438(2024), 109476.
  4. On common fundamental domains (with D. Dutkay, P. Jorgensen and G. Picioroaga), Adv. Math.,  239(2013), 109–127
  5. On the Beurling dimension of exponential frames (with  D. Dutkay,  Q. Sun and E. Weber),  Adv.  Math.,  226 ( 2011) 285–297
  6. On the spectra of a Cantor measure (with D. Dutkay, Q. Sun),   Adv.  Math.,   221, No.1 (2009), 251–276 
  7. Lattice tiling and Weyl-Heisenberg frames (with W. Yang),    Geometric and Functional Analysis (known as GAFA),  11(2001), 742-758.
  8. Orthonormal dilations of Parseval wavelets (with D. Dutkay, G. Picioroaga, Q. Sun),   Math.  Ann.,  341(2008), 483–515
  9. Continuous and Discrete Fourier Frames for Fractal Measures (with D. Dutkay and E. Weber),   Trans. Amer. Math. Soc., 366(2014), 1213–1235
  10. 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
  11. Frame representations and Parseval duals with applications to Gabor frames, Trans. Amer. Math. Soc.,  360(2008), 3307–3326
  12. Approximations for Gabor and wavelet frames,  Trans. Amer. Math. Soc.,  355 (2003), 3329—3342
  13. Wandering vector multipliers for unitary groups (with D. Larson),  Trans. Amer. Math. Soc.,   353(2001)3347-3370.
  14. Wandering vectors for irrational rotation unitary systems,  Trans. Amer. Math. Soc.,, 350(1998), 309-320
  15. A note on the density theorem for projective unitary representations,  Proc. Amer. Math. Soc., 145(2017), 1739-1745
  16. Discrete Gabor Frames in $\ell^2(\bf{Z}^d)$ (with J. Lopez),  Proc. Amer. Math. Soc., 141 (2013),  3839–3851
  17. Separating vectors for operators (with D. Larson, Z. Pan and W. Wogen),   Proc. Amer. Math. Soc., 135(2007), 713–723.
  18. Sampling expansions for functions having values in a Banach space (with  Ahmed Zayed),   Proc. Amer. Math. Soc., 133(2005), 3597–3607 
  19. Frames, modular functions for shift-invariant subspaces and FMRA wavelet frames (with Q. Gu),  Proc. Amer. Math. Soc.,  133(2005),   815–825
  20. The s-elementary wavelets are path-connected (with X. Dai, Y. Diao and Q. Gu),    Proc. Amer. Math. Soc., 132(2004), 2567–2575
  21. Frame wavelets in subspaces of R^{d}(with X. Dai, Y. Diao and Q. Gu),     Proc. Amer. Math. Soc., 130 (2002),  3259—3267
  22. Interpolation operators associated with sub-frame sets,    Proc. Amer. Math. Soc., 131 (2002), 275—284
  23. On some ideals of nest algebras (with C. Hou), Proc. Amer. Math. Soc., 123, no.11(1995), 3449-3453.
  24. Local derivations of nest algebras (with S. Wei), Proc. Amer. Math. Soc.,  no.10(1995), 3095-3100.
  25. Spectrum of the products of operators and compact perturbations (with W. Gong), Proc. Amer. Math. Soc., 120, no.3(1994),755-760
  26. Additive derivations of nest algebras, Proc. Amer. Math. Soc., 119, no.4(1993), 1165-1169.
  27. The first cohomology groups of nest algebras on normed spaces, Proc. Amer. Math. Soc., 118, no.4(1993), 1147- 1149.
  28. A note on the commutants of CSL algebras modulo bimodules, Proc. Amer. Math. Soc. 116, no.3(1992), 707-709
  29. Frame duality properties for projective unitary representations (with D. Larson),  Bull. London Math. Soc.,   40(2008), 685–695
  30. Extensions of  operators (with D. Larson, Z. Pan and W. Wogen),   Indiana  Univ.  J.  Math.,  53(2004),   1151–1169
  31. 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
  32. Gabor single-frame and multi-frame multipliers in any given dimension (with Y. Diao and Z. Li),  J. Funct. Anal. ,   280(2021), 108960
  33. 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
  34. Continuous framings for Banach spaces (with F. Li and P.  Li),  J. Funct. Anal., 271(4) 2016, 992–1021
  35. Dilations for systems of imprmimitivity acting on Banach spaces (with Larson, B. Liu and R. Liu), J. Funct. Anal. , 266(12), 2014, 6914–6937
  36. Linearly connected sequences and spectrally optimal frames for erasures (with S. Pehlivan and R. Mohapatra),  J. Funct. Anal. ,  265(2013), 2855–2876
  37. Lattice titling and density conditions for subspace Gabor frames (with J-P. Gabardo and Y. Li),  J. Funct. Anal. , 265(2013), 1170–1189
  38. Bessel sequences of exponentials on fractal measures (with  D. Dutkay and E. Weber),  J. Funct. Anal. , 261 (2011), 2529–2539
  39. Wavelet frames for (not necessarily reducing) affine subspaces II: The structure of affine subspaces (with Q. Gu), J. Funct. Anal. , 260(2011), 1615–1636
  40. Orthogonal exponentials, translations, and Bohr completions (with D. Dutkay and Palle Jorgensen ), J. Funct. Anal. ,  257 (2009), 2999–3019
  41. A duality principle for groups ( with D. Dutkay and  D. Larson),   J. Funct. Anal. ,  257, No.4 ( 2009), 1133–1143
  42. Frames for ICC groups (with D. Dutkay, G. Picioroaga),   J. Funct. Anal.,  256, No. 9 (2009), 3071–3090
  43. The existence of tight Gabor duals for Gabor frames and subspace Gabor frames, J. Funct. Anal.,  256, No. 1(2009), 129–148
  44. FROG-measurement based phase retrieval for analytic signals (with Y. Li and Y. Ma), Appl. Comput. Harm. Anal., 55(2021), 199-222
  45. Erasure recovery matrices for encoder (with D. Larson, S. Scholze and W. Sun), Appl. Comput. Harm. Anal., 48(2020), 766-786
  46. Recovery of Signals from Unordered Partial Frame Coefficients (with F. Lv and W. Sun), Appl. Comput. Harm. Anal., 44(2018), 38–58
  47. Matrix Fourier multipliers for Parseval multi-wavelet frames (with Z. Li), Appl. Comp. Harm. Anal.,   35(2013), 407–418
  48. 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
  49. Wavelet Frames for (not necessarily reducing) Affine Subspaces (with Q. Gu),  Appl. Comp. Harm. Anal.,    27(2009),  47–54
  50. When a characteristic function generates a Gabor frame (with Q. Gu),   Appl. Comp. Harm. Anal.,  24(2008), 190–309
  51. The uniqueness of the dual of Weyl-Heisenberg subspace frames (with J-P. Gabardo)),  Appl. Comp. Harm. Anal.,  17(2004), 226–240 .
  52. 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.
  53. The density theorem for operator-valued frames via square-integrable representations of locally compact groups (with P. Li and J. Wang),  Journal of Fourier Anal. Appl., 2024, available online
  54. 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.
  55. Frame phase-retrievability and exact phase-retrieval frames (with T. Juste. Y. Liu and W. Sun),  J. Fourier Anal. Appl., 25(2019), 3154–3173
  56. 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.
  57. Dilations and completions for Gabor systems,  J.  Fourier Anal. Appl.,  15 (2009),  201–217
  58. Super-wavelets and decomposable wavelet frames (with Q. Gu),  J.  Fourier Anal. Appl.,   11(2005), 683–696
  59. Wavelets with frame multiresolution analysis (with X. Dai, Y. Diao and Q. Gu)   J.  Fourier Anal.  Appl.,  9(2003), 39-48
  60. Subspace Weyl-Heisenberg frames (with J-P Gabardo),  J. Fourier Anal.  Appl., 7(2001), 419-433.
  61. On multiresolution analysis wavelets in R^n (with Q. Gu),   J. Fourier Anal.  Appl.,  247 (1999) 149-182.
  62. Basic properties of wavelets,  J.  Fourier Anal.  Appl., (a member of Wutam Consortium), 4(1998)575-59
  63. Reconstruction of signals from frame coefficients with erasures at unknown locations (with Wenchang Sun),  IEEE Trans. Information Theory,  60(2014), no. 7, 4013–4025
  64. Optimal Dual Frames for Communication Coding with Probabilistic Erasures (with J. Leng and T. Huang), IEEE Trans. Signal Processing, 59 (2011), 5380–5389
  65.  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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