Zobrazeno 1 - 10
of 750
pro vyhledávání: '"A, Bownik"'
Given a relatively compact $\Omega \subseteq \mathbb{R}$ of Lebesgue measure $|\Omega|$ and $\varepsilon > 0$, we show the existence of a set $\Lambda \subseteq \mathbb{R}$ of uniform density $D (\Lambda) \leq (1+\varepsilon) |\Omega|$ such that the
Externí odkaz:
http://arxiv.org/abs/2411.19562
Autor:
Bownik, Marcin
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 matrices. We use this result to show several selector results, which genera
Externí odkaz:
http://arxiv.org/abs/2405.18235
Autor:
Bownik, Marcin, Jasper, John
Given a self-adjoint operator $T$ on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set $\mathcal D(T)$ of all possible diagonals of $T$. For operators $T$ with at least two points in their essential spectru
Externí odkaz:
http://arxiv.org/abs/2304.14468
Autor:
Bownik, Marcin
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, and Srivastava in their breakthrough solution of the Kadison-Singer p
Externí odkaz:
http://arxiv.org/abs/2303.12954
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 guarantees that of any associated finitely iterated dyadic filter bank with
Externí odkaz:
http://arxiv.org/abs/2212.10709
Autor:
Bownik, Marcin, Jasper, John
Given a self-adjoint operator $T$ on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set $\mathcal D(T)$ of all possible diagonals of $T$. For compact operators $T$, we give a complete characterization of dia
Externí odkaz:
http://arxiv.org/abs/2212.08182
Autor:
Bownik, Marcin, Cruz-Uribe, David
In this paper we prove the Jones factorization theorem and the Rubio de Francia extrapolation theorem for matrix $\mathcal A_p$ weights. These results answer longstanding open questions in the study of matrix weights. The proof requires the developme
Externí odkaz:
http://arxiv.org/abs/2210.09443
Publikováno v:
In Toxicon October 2024 249
We construct a single smooth orthogonal projection with desired localization whose average under a group action yields the decomposition of the identity operator. For any full rank lattice $\Gamma \subset\mathbb R^d$, a smooth projection is localized
Externí odkaz:
http://arxiv.org/abs/2112.12097
Autor:
Bownik, Marcin, Speegle, Darrin
We solve the wavelet set existence problem. That is, we characterize the full-rank lattices $\Gamma\subset \mathbb R^n$ and invertible $n \times n$ matrices $A$ for which there exists a measurable set $W$ such that $\{W + \gamma: \gamma \in \Gamma\}$
Externí odkaz:
http://arxiv.org/abs/2109.10323