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arXiv · 2505.03218

A Characterization of Metaplectic Time-Frequency Representations

Karlheinz Gröchenig·Irina Shafkulovska
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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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Karlheinz Gröchenig, Irina Shafkulovska. 2025-05-06. A Characterization of Metaplectic Time-Frequency Representations. https://arxiv.org/abs/2505.03218

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