27 citations · 92 across the 25 of their papers we have counts for
36 papers
Triebel-Lizorkin spaces and expansive matrices
Marcin Bownik, Jordy Timo van Velthoven
We survey recent classification theorems for expansive matrices that generate the same anisotropic homogeneous Triebel-Lizorkin function space or sequence space. The function space…
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…
Diagonals of self-adjoint operators II: Non-compact operators
Marcin Bownik, John Jasper
Given a self-adjoint operator on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set of all possible diagonals of .…
On Akemann-Weaver Conjecture
Marcin Bownik
Akemann and Weaver showed Lyapunov-type theorem for rank one positive semidefinite matrices which is an extension of Weaver's KS conjecture that was proven by Marcus, Spielman,…
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…
Diagonals of self-adjoint operators I: compact operators
Marcin Bownik, John Jasper
Given a self-adjoint operator on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set of all possible diagonals of .…