All Publications
Simultaneous dilation and translation tilings of R^n
with Marcin Bownik
American Journal of Mathematics, to appear
Are MSF wavelets minimally supported?
with Marcin Bownik and Ziemowit Rzeszotnik
Expositiones Mathematicae, Volume 44, Issue 1, February 2026, 125745
Strictly Expansive Matrices
Journal of Mathematical Analysis and Applications, Volume 558, Issue 1, 1 June 2026, 130347
Improved bounds in Weaver and Feichtinger conjectures
with Marcin Bownik, Pete Casazza, and Adam W. Marcus
J. Reine Angew. Math., Vol. 749 (2019), pp. 267-293
The discretization problem for continuous frames
with Daniel Freeman
Adv. Math., Vol. 345 (2019), pp. 784-813
Linear independence of time-frequency translates in R^d
with Marcin Bownik
J. Geom. Anal., Vol. 26, No. 3 (2016), pp. 1678-1692
The HRT conjecture and the zero divisor conjecture for the Heisenberg group
with Christopher Heil
Excursions in harmonic analysis, Vol. 3, Birkhäuser/Springer, Cham (2015), pp. 159-176
Linear independence of time-frequency translates of functions with faster than exponential decay
with Marcin Bownik
Bull. Lond. Math. Soc., Vol. 45, No. 3 (2013), pp. 554-566
Spanning and independence properties of finite frames
with Peter G. Casazza
Finite frames, Birkhäuser/Springer, New York (2013), pp. 109-139
Spanning and independence properties of frame partitions
with Bernhard G. Bodmann, Peter G. Casazza, and Vern I. Paulsen
Proc. Amer. Math. Soc., Vol. 140, No. 7 (2012), pp. 2193-2207
Orthonormal dilations of non-tight frames
with Marcin Bownik and John Jasper
Proc. Amer. Math. Soc., Vol. 139, No. 9 (2011), pp. 3247-3256
Linear independence of Parseval wavelets
with Marcin Bownik
Illinois J. Math., Vol. 54, No. 2 (2010), pp. 771-785
Uniform partitions of frames of exponentials into Riesz sequences
J. Math. Anal. Appl., Vol. 348, No. 2 (2008), pp. 739-745
Structure of the set of dyadic PFW's
with H. Šikić and G. Weiss
Frames and operator theory in analysis and signal processing, Contemp. Math., Vol. 451, Amer. Math. Soc. (2008), pp. 263-291
Beurling dimension of Gabor pseudoframes for affine subspaces
with Wojciech Czaja and Gitta Kutyniok
J. Fourier Anal. Appl., Vol. 14, No. 4 (2008), pp. 514-537
A decomposition theorem for frames and the Feichtinger conjecture
with Peter G. Casazza, Gitta Kutyniok, and Janet C. Tremain
Proc. Amer. Math. Soc., Vol. 136, No. 6 (2008), pp. 2043-2053
Dyadic PFW's and W_o-bases
with H. Šikić
Functional analysis IX, Various Publ. Ser. (Aarhus), Vol. 48, Univ. Aarhus (2007), pp. 85-90
The Feichtinger conjecture for wavelet frames, Gabor frames and frames of translates
with Marcin Bownik
Canad. J. Math., Vol. 58, No. 6 (2006), pp. 1121-1143
A redundant version of the Rado-Horn theorem
with Peter G. Casazza and Gitta Kutyniok
Linear Algebra Appl., Vol. 418, No. 1 (2006), pp. 1-10
Explicit cross-sections of singly generated group actions
with David Larson, Eckart Schulz, and Keith F. Taylor
Harmonic analysis and applications, Birkhäuser Boston (2006), pp. 209-230
The geometry of sets of parameters of wave packet frames
with Wojciech Czaja and Gitta Kutyniok
Appl. Comput. Harmon. Anal., Vol. 20, No. 1 (2006), pp. 108-125
Wavelets, wavelet sets, and linear actions on R^n
with Gestur Ólafsson
Wavelets, frames and operator theory, Contemp. Math., Vol. 345, Amer. Math. Soc. (2004), pp. 253-281
On the existence of wavelets for non-expansive dilation matrices
Collect. Math., Vol. 54, No. 2 (2003), pp. 163-179
The wavelet dimension function for real dilations and dilations admitting non-MSF wavelets
with Marcin Bownik
Approximation theory, X, Innov. Appl. Math., Vanderbilt Univ. Press (2002), pp. 63-85
Meyer type wavelet bases in R^2
with Marcin Bownik
J. Approx. Theory, Vol. 116, No. 1 (2002), pp. 49-75
On wavelets interpolated from a pair of wavelet sets
with Ziemowit Rzeszotnik
Proc. Amer. Math. Soc., Vol. 130, No. 10 (2002), pp. 2921-2930
A characterization of dimension functions of wavelets
with Marcin Bownik and Ziemowit Rzeszotnik
Appl. Comput. Harmon. Anal., Vol. 10, No. 1 (2001), pp. 71-92
Completeness in the set of wavelets
with Gustavo Garrigós
Proc. Amer. Math. Soc., Vol. 128, No. 4 (2000), pp. 1157-1166
The s-elementary wavelets are path-connected
Proc. Amer. Math. Soc., Vol. 127, No. 1 (1999), pp. 223-233
Wavelet sets in R^n. II
with Xingde Dai and David R. Larson
Wavelets, multiwavelets, and their applications, Contemp. Math., Vol. 216, Amer. Math. Soc. (1998), pp. 15-40
Banach spaces failing the almost isometric universal extension property
Proc. Amer. Math. Soc., Vol. 126, No. 12 (1998), pp. 3633-3637
Wavelet sets in R^n
with Xingde Dai and David R. Larson
J. Fourier Anal. Appl., Vol. 3, No. 4 (1997), pp. 451-456