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arXiv · 2502.13798

A remark on the Weyl quantisation of Paley-Wiener functions

Helge J. Samuelsen
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Abstract

We present a short proof of the fact that the Weyl quantisation of a tempered distribution with compactly supported Fourier transform is in the Schatten $p$-class if and only if the symbol is $L^p$-integrable. The proof is based on Werner-Young's inequality from quantum harmonic analysis and a quantum version of Wiener's division lemma.

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Helge J. Samuelsen. 2025-02-19. A remark on the Weyl quantisation of Paley-Wiener functions. https://arxiv.org/abs/2502.13798

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