A remark on the Weyl quantisation of Paley-Wiener functions
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 Lp-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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