8 papers
Concentration estimates for finite expansions of spherical harmonics on two-point homogeneous spaces via the large sieve principle
Philippe Jaming, Michael Speckbacher
We study the concentration problem on compact two-point homogeneous spaces of finite expansions of eigenfunctions of the Laplace-Beltrami operator using large sieve methods. We der…
Almost Everywhere Convergence of Prolate Spheroidal Series
Philippe Jaming, Michael Speckbacher
In this paper, we show that the expansions of functions from -Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for $1<p<\i…
Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle
Michael Speckbacher, Tomasz Hrycak
We study a concentration problem on the unit sphere for band-limited spherical harmonics expansions using large sieve methods. We derive upper bounds for concentrati…
Planar sampling sets for the short-time Fourier transform
Philippe Jaming, Michael Speckbacher
This paper considers the problem of restricting the short-time Fourier transform to domains of nonzero measure in the plane and studies sampling bounds of such systems. In particul…
Kernel Theorems in Coorbit Theory
Peter Balazs, Karlheinz Gröchenig, Michael Speckbacher
We prove general kernel theorems for operators acting between coorbit spaces. These are Banach spaces associated to an integrable representation of a locally compact group and cont…
Deterministic guarantees for -reconstruction: A large sieve approach with geometric flexibility
Luís Daniel Abreu, Michael Speckbacher
We present estimates of the -concentration ratio for various function spaces on different geometries including the line, the sphere, the plane, and the hyperbolic disc, using la…