90 citations · 169 across the 19 of their papers we have counts for
5 papers · 1 filter
Zeros of the Wigner Distribution and the Short-Time Fourier Transform
Karlheinz Gröchenig, Philippe Jaming, Eugenia Malinnikova
We study the question under which conditions the zero set of a (cross-) Wigner distribution W (f, g) or a short-time Fourier transform is empty. This is the case when both f and g…
An uncertainty principle for solutions of the Schr{ö}dinger equation on H-type groups
Aingeru Fernández-Bertolin, Philippe Jaming, Salvador Pérez-Esteva
In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type g…
Non-Asymptotic behaviour of the spectrum of the Sinc Kernel Operator and Related Applications
Aline Bonami, Philippe Jaming, Abderrazek Karoui
Prolate spheroidal wave functions have recently attracted a lot of attention in applied harmonic analysis, signal processing and mathematical physics. They are eigenvectors of the…
Mean convergence of prolate spheroidal series and their extensions
Mourad Boulsane, Philippe Jaming, Ahmed Souabni
The aim of this paper is to establish the range of p's for which the expansion of a function f L p in a generalized prolate spheroidal wave function (PSWFs) basis converges t…
Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations
Karine Beauchard, Philippe Jaming, Karel Pravda-Starov
Some recent works have shown that the heat equation posed on the whole Euclidean space is null-controllable in any positive time if and only if the control subset is a thick set. T…