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