5 papers · 1 filter
Optimal concentration in the Paley-Wiener space
Luís Daniel Abreu, Michael Speckbacher
Let be a bounded interval and let be the corresponding Paley--Wiener space. For a measurable set of finite measure, consider the…
Convergence of Hermite expansions in modulation spaces
Philippe Jaming, Michael Speckbacher
The aim of this paper is to give an elementary proof that Hermite expensions of a function in the modulation space converges to in when and…
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…
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…