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math.CA2022★ 1 cited
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…
math.FA2022
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 .…
math.CA2022
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…