12 citations · 12 across the 3 of their papers we have counts for
5 papers
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…
Open problems in wavelet theory
Marcin Bownik, Ziemowit Rzeszotnik
We present a collection of easily stated open problems in wavelet theory and we survey the current status of answering them. This includes a problem of Larson on minimally supporte…
On biunimodular vectors for unitary matrices
Hartmut Führ, Ziemowit Rzeszotnik
A biunimodular vector of a unitary matrix is a vector $v \in \mathbb{T}^n\subset\bc^n$ such that as well. Over the last 30 years, the sets of biu…
Banach algebras of pseudodifferential operators and their almost diagonalization
Karlheinz Gröchenig, Ziemowit Rzeszotnik
We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algeb…
Quantitative Estimates for the Finite Section Method
Karlheinz Gröchenig, Ziemowit Rzeszotnik, Thomas Strohmer
The finite section method is a classical scheme to approximate the solution of an infinite system of linear equations. We present quantitative estimates for the rate of the converg…