27 citations · 92 across the 25 of their papers we have counts for
4 papers · 1 filter
On syndetic Riesz sequences
Marcin Bownik, Itay Londner
Applying the solution to the Kadison-Singer problem, we show that every subset of the torus of positive Lebesgue measure admits a Riesz sequence of exponentials $\lef…
Smooth orthogonal projections on Riemannian manifold
Marcin Bownik, Karol Dziedziul, Anna Kamont
We construct a decomposition of the identity operator on a Riemannian manifold as a sum of smooth orthogonal projections subordinate to an open cover of . This extends a dec…
Measurable selector in Kadison's carpenter's theorem
Marcin Bownik, Marcin Szyszkowski
We show the existence of a measurable selector in Carpenter's Theorem due to Kadison. This solves a problem posed by Jasper and the first author. As an application we obtain a char…
Continuous frames and the Kadison-Singer problem
Marcin Bownik
In this paper we survey a recent progress on continuous frames inspired by the solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava. We present an extension o…