A Characterization of Metaplectic Time-Frequency Representations

Published 6 May 2025 in math.FA | (2505.03218v2)

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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