A Characterization of Metaplectic Time-Frequency Representations

2025/05/06 by Gröchenig, Karlheinz, Shafkulovska, Irina · 1 citation
#22E46 #81S30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.03218

Abstract

We characterize all time-frequency representations that satisfy a general covariance property: any weak*-continuous bilinear mapping that intertwines time-frequency shifts on the configuration space with time-frequency shifts on phase space is a multiple of a metaplectic time-frequency representation.

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• On the microlocal phase space concentration of Schrödinger evolutions

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