26 citations · 63 across the 31 of their papers we have counts for
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math.FA2020
Affine density, von Neumann dimension and a problem of Perelomov
Luìs Daniel Abreu, Michael Speckbacher
We provide a solution to Perelomov's 1972 problem concerning the existence of a phase transition (known in signal analysis as 'Nyquist rate') determining the basis properties of ce…
math.CA2020
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…
math.CA2020
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…