Michael Speckbacher

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20242026

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math.CA2026

Optimal concentration in the Paley-Wiener space

LuÃs Daniel Abreu, Michael Speckbacher

Let $I^c ◯ \subset R$ be a bounded interval and let $P W (I^c ◯)$ be the corresponding Paley--Wiener space. For a measurable set $E \subset R$ of finite measure, consider t…

math.CA2026

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 $f$ in the modulation space $M^{p} (R)$ converges to $f$ in $M^{p} (R)$ when $1 < p < + \infty$ and…

math.CA2024

Oversampling and Donoho-Logan type theorems in model spaces

Anton Baranov, Philippe Jaming, Karim Kellay +1

The aim of this paper is to extend two results from the Paley--Wiener setting to more generalmodel spaces. The first one is an analogue of the oversampling Shannon sampling formula…