The metaplectic action on modulation spaces

DOI10.1016/j.acha.2023.101604arXiv2211.08389OpenAlexW4388487264MaRDI QIDQ6144892

Hartmut Führ, Irina Shafkulovska

Publication date: 30 January 2024

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.08389

zbMATH Keywords

symplectic groupmodulation spacesmetaplectic operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) Pseudodifferential operators (47G30) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
• Time-frequency partitions and characterizations of modulation spaces with localization operators
• The spaces \(L^ p\), with mixed norm
• Time-frequency analysis of Fourier integral operators
• Foundations of time-frequency analysis
• On foundational discretization barriers in STFT phase retrieval
• Time-frequency analysis of operators
• A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform
• Multilinear \(\tau\)-Wigner transform
• Strichartz estimates for the metaplectic representation
• Symplectic geometry and quantum mechanics
• The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces
• Generalized Spectrograms and t -Wigner Transforms
• Parametrization of the Matrix Symplectic Group and Applications
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Time-frequency representations of Wigner type and pseudo-differential operators
• Classical Fourier Analysis
• Non-Uniqueness Theory in Sampled STFT Phase Retrieval