27 citations · 92 across the 25 of their papers we have counts for
14 papers · 1 filter
Are MSF wavelets minimally supported?
Marcin Bownik, Ziemowit Rzeszotnik, Darrin Speegle
Larson's problem asks ``Must the support of the Fourier transform of a wavelet contain a wavelet set?". We give an affirmative answer to a non-measurable variant of this question b…
Stability of iterated dyadic filter banks
Marcin Bownik, Brody Johnson, Simon McCreary-Ellis
This paper examines the frame properties of finitely and infinitely iterated dyadic filter banks. It is shown that the stability of an infinitely iterated dyadic filter bank guaran…
Extrapolation and Factorization of matrix weights
Marcin Bownik, David Cruz-Uribe
In this paper we prove the Jones factorization theorem and the Rubio de Francia extrapolation theorem for matrix weights. These results answer longstanding open ques…
Marcinkiewicz averages of smooth orthogonal projections on sphere
Marcin Bownik, Karol Dziedziul, Anna Kamont
We construct a single smooth orthogonal projection with desired localization whose average under a group action yields the decomposition of the identity operator. For any full rank…
Simultaneous dilation and translation tilings of
Marcin Bownik, Darrin Speegle
We solve the wavelet set existence problem. That is, we characterize the full-rank lattices and invertible matrices for which there exists a…
A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of
Marcin Bownik, Baode Li, Tal Weissblat
We study the relationship between the concept of a continuous ellipsoid cover of , which was introduced by Dahmen, Dekel, and Petrushev, and the space of homogene…