A Characterization of Metaplectic Time-Frequency Representations
Functional Analysis
2025-05-13 v2
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.
Cite
@article{arxiv.2505.03218,
title = {A Characterization of Metaplectic Time-Frequency Representations},
author = {Karlheinz Gröchenig and Irina Shafkulovska},
journal= {arXiv preprint arXiv:2505.03218},
year = {2025}
}
Comments
12 pages. The proof of Proposition 4.5 has been simplified, and minor typos have been corrected