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math.CA2025
Meyer wavelets for rational dilations
Marcin Bownik
We show the existence of smooth band-limited multiresolution analysis (MRA) for any expansive dilation with real entries in any spatial dimension. We then prove the existence of or…
math.CA2024
On exponential frames near the critical density
Marcin Bownik, Jordy Timo van Velthoven
Given a relatively compact set of Lebesgue measure and , we show the existence of a set of uniform density $D…
math.CA2024
Selector form of Weaver's conjecture, Feichtinger's conjecture, and frame sparsification
Marcin Bownik
We show an extension of a probabilistic result of Marcus, Spielman, and Srivastava, which resolved the Kadison-Singer problem, for block diagonal positive semidefinite random matri…