Below is a list of my preprints along with links to PDF files.

• Linear independence of Parseval wavelets, (with Darrin Speegle)
  preprint (2008). PDF
• Anisotropic classes of homogeneous pseudodifferential symbols, (with Árpád Bényi)
  preprint (2009). PDF
• Weighted anisotropic product Hardy spaces and boundedness of sublinear operators, (with Baode Li, Dachun Yang, and Yuan Zhou)
  preprint (2009). PDF
• Characterization of sequences of frame norms, (with John Jasper)
  preprint (2009).

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.

38. Affine and quasi-affine frames for rational dilation, (with Jakob Lemvig)
    Tran. Amer. Math. Soc. (to appear). PDF
37. The closure of the set of tight frame wavelets,
    Acta Appl. Math. 107 (2009), 195-201. PDF
36. Construction and reconstruction of tight framelets and wavelets via matrix mask functions, (with Ziemowit Rzeszotnik)
    J. Funct. Anal. 256 (2009), 1065-1105. PDF
35. Intersection of dilates of shift-invariant spaces,
    Proc. Amer. Math. Soc. 137 (2009), 563-572. PDF
34. Dimension functions of rationally dilated GMRAs and wavelets, (with Kenneth Hoover)
    J. Fourier Anal. Appl. (to appear). PDF
33. 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
32. Baggett's problem for frame wavelets,
    Representations, Wavelets and Frames: A Celebration of the Mathematical Work of Lawrence Baggett, 153-173, Birkhauser, 2008. PDF
31. Duality and interpolation of anisotropic Triebel-Lizorkin spaces,
    Math. Z. 259 (2008), 131-169. PDF
30. Anisotropic Triebel-Lizorkin spaces with doubling measures,
    J. Geom. Anal. 17 (2007), 387-424. PDF
29. The canonical and alternate duals of a wavelet frame, (with Jakob Lemvig)
    Appl. Comput. Harmon. Anal. 23 (2007), 263-272. PDF
28. Characterization and perturbation of Gabor frame sequences with rational parameters, (with Ole Christensen)
    J. Approx. Theory 147 (2007), 67-80. PDF
27. The structure of shift-modulation invariant spaces: the rational case
    J. Funct. Anal. 244 (2007), 172-219. PDF
26. Connectivity and density in the set of framelets
    Math. Res. Lett. 14 (2007), 285-293. PDF
25. Duals of Hardy spaces on homogeneous groups (with Gerald B. Folland)
    Math. Nachr. 280 (2007), 1223-1229. PDF
24. Minimal generator sets for finitely generated shift-invariant subspaces of L²(Rⁿ), (with Norbert Kaiblinger)
    J. Math. Anal. Appl. 313 (2006), 342-352. PDF
23. The Feichtinger conjecture for wavelet frames, Gabor frames and frames of translates, (with Darrin Speegle)
    Canad. J. Math. 58 (2006), 1121-1143. PDF
22. Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces, (with Kwok-Pun Ho)
    Trans. Amer. Math. Soc. 358 (2006), 1469-1510. PDF
21. On the existence of multiresolution analysis for framelets (with Ziemowit Rzeszotnik),
    Math. Ann. 332 (2005), 705-720. PDF
20. Atomic and molecular decompositions of anisotropic Besov spaces,
    Math. Z. 250 (2005), 539-571. PDF
19. Boundedness of operators on Hardy spaces via atomic decompositions,
    Proc. Amer. Math. Soc. 133 (2005), 3535-3542. PDF
18. 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
17. Biorthogonal wavelets, MRA's and shift-invariant spaces, (with Gustavo Garrigós)
    Studia Math. 160 (2004), 231-248. PDF
16. Affine Frames, GMRA's, and the Canonical Dual, (with Eric Weber)
    Studia Math. 159 (2003), 453-479. PDF
15. Riesz wavelets and generalized multiresolution analyses,
    Appl. Comput. Harmon. Anal. 14 (2003), 181-194. PDF
14. The spectral function of shift-invariant spaces, (with Ziemowit Rzeszotnik)
    Michigan Math. J. 51 (2003), 387-414. PDF
13. Quasi-affine systems and the Calderòn condition,,
    Harmonic Analysis at Mount Holyoke, Contemp. Math. 320 (2003), 29-43. PDF
12. Anisotropic Hardy spaces and wavelets,
    Mem. Amer. Math. Soc. 164 (2003), no. 781, 122pp. PDF
11. 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
10. On a problem of Daubechies,
    Constr. Approx. 19 (2003), 179-190. PDF
9. Meyer type wavelet bases in R², (with Darrin Speegle)
   J. Approx. Theory 116 (2002), 49-75. PDF
8. Combined MSF multiwavelets,
   J. Fourier Anal. Appl. 8 (2002), 201-210. PDF
7. The construction of r-regular wavelets for arbitrary dilations,
   J. Fourier Anal. Appl. 7 (2001), 489-506. PDF
6. On characterizations of multiwavelets in L²(Rⁿ),
   Proc. Amer. Math. Soc. 129 (2001), 3265-3274. PDF
5. A characterization of dimension functions of wavelets, (with Ziemowit Rzeszotnik and Darrin Speegle)
   Appl. Comput. Harmon. Anal. 10 (2001), 71-92. PDF
4. Inverse volume inequalities for matrix weights,
   Indiana Univ. Math. J. 50 (2001), 383-410. PDF
3. The structure of shift invariant subspaces of L²(Rⁿ),
   J. Funct. Anal. 177 (2000), 282-309. PDF
2. A characterization of affine dual frames in L²(Rⁿ),
   Appl. Comput. Harmon. Anal. 8 (2000), 203-221. PDF
1. Tight frames of multidimensional wavelets,
   J. Fourier Anal. Appl. 3 (1997), 525-542. PDF