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