Preprints & Publications



For my preprints see arxiv

Below is a list of my publications along with links to PDF files. Note that some PDF files may slightly differ from the final version. Please contact me at mbownik@uoregon.edu if you would like to receive a reprint.

  1. Diagonals of self-adjoint operators II: Non-compact operators, (with John Jasper)
    Math. Ann. (to appear). PDF
  2. Simultaneous dilation and translation tilings of Rn, (with Darrin Speegle)
    American J. Math. (to appear). PDF
  3. Stability of iterated dyadic filter banks, (with Brody Johnson and Simon McCreary-Ellis)
    Appl. Comput. Harmon. Anal. 64 (2023), 229-253. PDF
  4. Variable anisotropic singular integral operators, (with Baode Li and Jinxia Li)
    Constr. Approx. 58 (2023), 363-406. PDF
  5. A PDE characterization of anisotropic Hardy spaces, (with Li-An Daniel Wang)
    Math. Nachr. 296 (2023), 2258-2275. PDF
  6. Marcinkiewicz averages of smooth orthogonal projections on sphere, (with Karol Dziedziul and Anna Kamont)
    J. Fourier Anal. Appl. 28 (2022), Article No. 75, 31pp. PDF
  7. Parseval wavelet frames on Riemannian manifold, (with Karol Dziedziul and Anna Kamont)
    J. Geom. Anal. 32 (2022), Paper No. 4, 43 pp. PDF
  8. A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of Rn, (with Baode Li and Tal Weissblat)
    J. Math. Anal. Appl. 505 (2022), Paper No. 125482, 19 pp. PDF
  9. Smooth orthogonal projections on Riemannian manifold, (with Karol Dziedziul and Anna Kamont)
    Potential Anal. 54 (2021), 41-94. PDF
  10. Multiplication-invariant operators and the classification of LCA group frames}, (with Joseph Iverson)
    J. Funct. Anal. 280 (2021), Paper No. 108780, 59 pp. PDF
  11. Wavelets on compact abelian groups, (with Qaiser Jahan)
    Appl. Comput. Harmon. Anal. 49 (2020), 471-494. PDF
  12. A measurable selector in Kadison's carpenter's theorem, (with Marcin Szyszkowski)
    Canad. J. Math. 72 (2020), 1505-1528. PDF
  13. Open problems in wavelet theory, (with Ziemowit Rzeszotnik)
    Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology. Ronald G. Douglas Memorial Volume, 77-100, Operator Theory: Advances and Applications 278, Birkhauser, 2020. PDF
  14. On syndetic Riesz sequences, (with Itay Londner)
    Israel J. Math. 233 (2019), 113-131. PDF
  15. Improved bounds in Weaver and Feichtinger Conjectures, (with Pete Casazza, Adam Marcus, and Darrin Speegle)
    J. Reine Angew. Math. 749 (2019), 267-293. PDF
  16. Lypaunov's theorem for continuous frames,
    Proc. Amer. Math. Soc. 146 (2018), 3825-3838. PDF
  17. Continuous frames and the Kadison-Singer problem,
    Coherent States and Their Applications - A Contemporary panorama, 63--88, Springer Proceedings in Physics 205, Springer, 2018. PDF
  18. The Kadison-Singer problem,
    Frames and Harmonic Analysis, 63-92, Contemp. Math., 706, Amer. Math. Soc., Providence, RI, 2018. PDF
  19. On Wilson bases in L2(Rd) (with Mads Jakobsen, Jakob Lemvig, and Kasso Okoudjou)
    SIAM J. Math. Anal. 49 (2017), 3999-4023. PDF
  20. The Schur-Horn theorem for unbounded operators with discrete spectrum, (with John Jasper and Bartlomiej Siudeja)
    Bull. London Math. Soc. 49 (2017), 148-164. PDF
  21. Wavelets for non-expanding dilations and the lattice counting estimate (with Jakob Lemvig)
    Int. Math. Res. Not. IMRN 2017, 7264-7291. PDF
  22. Linear independence of time-frequency translates in Rd, (with Darrin Speegle)
    J. Geom. Anal. 26 (2016), 1678-1692. PDF
  23. Diagonals of self-adjoint operators with finite spectrum, (with John Jasper)
    Bull. Polish Acad. Sci. Math. 63 (2015), 249-260. PDF
  24. The structure of translation-invariant spaces on locally compact abelian groups, (with Kenneth Ross)
    J. Fourier Anal. Appl. 21 (2015), 849-884. PDF
  25. A combinatorial characterization of tight fusion frames, (with Kurt Luoto and Ed Richmond)
    Pacific J. Math. 275 (2015), 257-294. PDF
  26. Smooth orthogonal projections on sphere, (with Karol Dziedziul)
    Const. Approx. 41 (2015), 23-48. PDF
  27. Existence of frames with prescribed norms and frame operator, (with John Jasper)
    Excursions in harmonic analysis. Volume 4, 103-117, Appl. Numer. Harmon. Anal., Birkhauser/Springer, New York, 2015. PDF
  28. The Schur-Horn Theorem for operators with finite spectrum, (with John Jasper)
    Trans. Amer. Math. Soc. 367 (2015), 5099-5140. PDF
  29. A mean characterization of weighted anisotropic Besov and Triebel-Lizorkin spaces, (with Baode Li, Dachun Yang, and Wen Yuan)
    Z. Anal. Anwend. 33 (2014), 125-147. PDF
  30. Constructive proof of the Carpenter's Theorem, (with John Jasper)
    Canad. Math. Bull. 57 (2014), 125-147. PDF
  31. Spectra of frame operators with prescribed frame norms, (with John Jasper)
    Harmonic Analysis and Partial Differential Equations, Contemp. Math. 612 (2014), 65-79 . PDF
  32. Littlewood-Paley characterization and duality of weighted anisotropic product Hardy spaces, (with Baode Li and Dachun Yang)
    J. Funct. Anal. 266 (2014), 2611-2661. PDF
  33. Linear independence of time-frequency translates of functions with faster than exponential decay, (with Darrin Speegle)
    Bull. London Math. Soc. 45 (2013), 554-566. PDF
  34. Fourier transform of anisotropic Hardy spaces, (with Li-An Daniel Wang)
    Proc. Amer. Math. Soc. 141 (2013), 2299-2308. PDF
  35. Extrapolation of discrete Triebel-Lizorkin spaces,
    Math. Nachr. 286 (2013), 492-502. PDF
  36. Anisotropic classes of inhomogeneous pseudodifferential symbols, (with Árpád Bényi)
    Collect. Math. 64 (2013), 155-173. PDF
  37. Extension of shift-invariant systems in L2(R) to frames, (with Ole Christensen, Xinli Huang, and Baiyun Yu)
    Numer. Funct. Anal. Optim. 33 (2012), 833-846. PDF
  38. Oversampling of wavelet frames for real dilations, (with Jakob Lemvig)
    J. London Math. Soc. 85 (2012), 765-788. PDF
  39. Duality of weighted anisotropic Besov and Triebel-Lizorkin spaces, (with Baode Li, Dachun Yang, and Wen Yuan)
    Positivity 16 (2012), 213-244. PDF
  40. Orthonormal dilations of non-tight frames, (with John Jasper and Darrin Speegle)
    Proc. Amer. Math. Soc. 139 (2011), 3247-3256. PDF
  41. Characterization of sequences of frame norms, (with John Jasper)
    J. Reine Angew. Math. 654 (2011), 219-244. PDF
  42. Affine and quasi-affine frames for rational dilation, (with Jakob Lemvig)
    Tran. Amer. Math. Soc. 363 (2011), 1887-1924. PDF
  43. Anisotropic singular integrals in product spaces, (with Baode Li, Dachun Yang, and Yuan Zhou)
    Sci. China Math. 53 (2010), 3163-3178. PDF
  44. Anisotropic classes of homogeneous pseudodifferential symbols, (with Árpád Bényi)
    Studia Math. 200 (2010), 41-66. PDF
  45. Weighted anisotropic product Hardy spaces and boundedness of sublinear operators, (with Baode Li, Dachun Yang, and Yuan Zhou)
    Math. Nachr. 283 (2010), 392-442. PDF
  46. Linear independence of Parseval wavelets, (with Darrin Speegle)
    Illinois J. Math. 54 (2010), 771-785. PDF
  47. The closure of the set of tight frame wavelets,
    Acta Appl. Math. 107 (2009), 195-201. PDF
  48. Construction and reconstruction of tight framelets and wavelets via matrix mask functions, (with Ziemowit Rzeszotnik)
    J. Funct. Anal. 256 (2009), 1065-1105. PDF
  49. Intersection of dilates of shift-invariant spaces,
    Proc. Amer. Math. Soc. 137 (2009), 563-572. PDF
  50. Dimension functions of rationally dilated GMRAs and wavelets, (with Kenneth Hoover)
    J. Fourier Anal. Appl. 15 (2009), 585-615. PDF
  51. Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators, (with Baode Li, Dachun Yang, and Yuan Zhou)
    Indiana Univ. Math. J. 57 (2008), 3065-3100. PDF
  52. Baggett's problem for frame wavelets,
    Representations, wavelets, and frames, 153-173, Appl. Numer. Harmon. Anal., Birkhauser Boston, Boston, MA, 2008. PDF
  53. Duality and interpolation of anisotropic Triebel-Lizorkin spaces,
    Math. Z. 259 (2008), 131-169. PDF
  54. Anisotropic Triebel-Lizorkin spaces with doubling measures,
    J. Geom. Anal. 17 (2007), 387-424. PDF
  55. The canonical and alternate duals of a wavelet frame, (with Jakob Lemvig)
    Appl. Comput. Harmon. Anal. 23 (2007), 263-272. PDF
  56. Characterization and perturbation of Gabor frame sequences with rational parameters, (with Ole Christensen)
    J. Approx. Theory 147 (2007), 67-80. PDF
  57. The structure of shift-modulation invariant spaces: the rational case
    J. Funct. Anal. 244 (2007), 172-219. PDF
  58. Connectivity and density in the set of framelets
    Math. Res. Lett. 14 (2007), 285-293. PDF
  59. Duals of Hardy spaces on homogeneous groups (with Gerald B. Folland)
    Math. Nachr. 280 (2007), 1223-1229. PDF
  60. Minimal generator sets for finitely generated shift-invariant subspaces of L2(Rn), (with Norbert Kaiblinger)
    J. Math. Anal. Appl. 313 (2006), 342-352. PDF
  61. The Feichtinger conjecture for wavelet frames, Gabor frames and frames of translates, (with Darrin Speegle)
    Canad. J. Math. 58 (2006), 1121-1143. PDF
  62. Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces, (with Kwok-Pun Ho)
    Trans. Amer. Math. Soc. 358 (2006), 1469-1510. PDF
  63. On the existence of multiresolution analysis for framelets (with Ziemowit Rzeszotnik),
    Math. Ann. 332 (2005), 705-720. PDF
  64. Atomic and molecular decompositions of anisotropic Besov spaces,
    Math. Z. 250 (2005), 539-571. PDF
    65. Erratum to: Atomic and Molecular Decompositions of Anisotropic Besov Spaces,
    Math. Z. 273 (2013), 1297-1299. PDF
  65. Boundedness of operators on Hardy spaces via atomic decompositions,
    Proc. Amer. Math. Soc. 133 (2005), 3535-3542. PDF
  66. The spectral function of shift-invariant spaces on general lattices, (with Ziemowit Rzeszotnik)
    Wavelets, frames and operator theory, Contemp. Math. 345 (2004), 49-59. PDF
  67. Biorthogonal wavelets, MRA's and shift-invariant spaces, (with Gustavo Garrigós)
    Studia Math. 160 (2004), 231-248. PDF
  68. Affine Frames, GMRA's, and the Canonical Dual, (with Eric Weber)
    Studia Math. 159 (2003), 453-479. PDF
  69. Riesz wavelets and generalized multiresolution analyses,
    Appl. Comput. Harmon. Anal. 14 (2003), 181-194. PDF
  70. The spectral function of shift-invariant spaces, (with Ziemowit Rzeszotnik)
    Michigan Math. J. 51 (2003), 387-414. PDF
  71. Quasi-affine systems and the Calderòn condition,,
    Harmonic Analysis at Mount Holyoke, Contemp. Math. 320 (2003), 29-43. PDF
  72. Anisotropic Hardy spaces and wavelets,
    Mem. Amer. Math. Soc. 164 (2003), no. 781, 122pp. PDF
  73. On a problem of Daubechies,
    Constr. Approx. 19 (2003), 179-190. PDF
  74. The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets, (with Darrin Speegle)
    Approximation Theory X: Wavelets, Splines, and Applications, 63-85, Vanderbilt University Press, 2002. PDF
  75. Meyer type wavelet bases in R2, (with Darrin Speegle)
    J. Approx. Theory 116 (2002), 49-75. PDF
  76. Combined MSF multiwavelets,
    J. Fourier Anal. Appl. 8 (2002), 201-210. PDF
  77. The construction of r-regular wavelets for arbitrary dilations,
    J. Fourier Anal. Appl. 7 (2001), 489-506. PDF
  78. On characterizations of multiwavelets in L2(Rn),
    Proc. Amer. Math. Soc. 129 (2001), 3265-3274. PDF
  79. A characterization of dimension functions of wavelets, (with Ziemowit Rzeszotnik and Darrin Speegle)
    Appl. Comput. Harmon. Anal. 10 (2001), 71-92. PDF
  80. Inverse volume inequalities for matrix weights,
    Indiana Univ. Math. J. 50 (2001), 383-410. PDF
  81. The structure of shift invariant subspaces of L2(Rn),
    J. Funct. Anal. 177 (2000), 282-309. PDF
  82. A characterization of affine dual frames in L2(Rn),
    Appl. Comput. Harmon. Anal. 8 (2000), 203-221. PDF
  83. Tight frames of multidimensional wavelets,
    J. Fourier Anal. Appl. 3 (1997), 525-542. PDF