Marcin Bownik

activity

20092026

most citedAnisotropic Singular Integrals in Product Spaces

27 citations · 92 across the 25 of their papers we have counts for

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22 papers · 1 filter

math.FA2026

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…

math.FA2023

Diagonals of self-adjoint operators II: Non-compact operators

Marcin Bownik, John Jasper

Given a self-adjoint operator $T$ on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set $D (T)$ of all possible diagonals of $T$ .…

math.FA2023

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 $_{2}$ conjecture that was proven by Marcus, Spielman,…

math.FA2022

Diagonals of self-adjoint operators I: compact operators

Marcin Bownik, John Jasper

Given a self-adjoint operator $T$ on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set $D (T)$ of all possible diagonals of $T$ .…

math.FA2020

Parseval wavelet frames on Riemannian manifold

Marcin Bownik, Karol Dziedziul, Anna Kamont

We construct Parseval wavelet frames in $L^{2} (M)$ for a general Riemannian manifold $M$ and we show the existence of wavelet unconditional frames in $L^{p} (M)$ for $1 < p < \infty$ . Th…

math.FA2020

Variable Anisotropic Singular Integral Operators

Marcin Bownik, Baode Li, Jinxia Li

We introduce the class of variable anisotropic singular integral operators associated to a continuous multi-level ellipsoid cover $Θ$ of $R^{n}$ introduced by Dahmen, Dekel,…