A characterization of metaplectic time–frequency representations
Abstract
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. This characterization offers an intrinsic, structural motivation for the ‐Wigner distributions introduced by Cordero and Rodino.
Fields of Study & Subjects
Neural Networks and Applications
Time Series Analysis and Forecasting
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 6
- Publication date
- 1 June 2026
- Language
- EN