A Characterization of Metaplectic Time-Frequency Representations
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.
12 pages. The proof of Proposition 4.5 has been simplified, and minor typos have been corrected