Metaplectic Gabor frames and symplectic analysis of time-frequency spaces

DOI10.1016/j.acha.2023.101594arXiv2304.04593OpenAlexW4386573621MaRDI QIDQ6185684

Gianluca Giacchi, Elena Cordero

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/2304.04593

zbMATH Keywords

symplectic groupframesmodulation spacestime-frequency analysismetaplectic groupWiener amalgam spacestime-frequency representations

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15)

Cites Work

• Unnamed Item
• The mystery of Gabor frames
• Time-frequency partitions and characterizations of modulation spaces with localization operators
• Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
• Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
• Pseudodifferential operators on ultra-modulation spaces.
• Foundations of time-frequency analysis
• Convolutions for localization operators
• Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains
• Localization of Fréchet frames and expansion of generalized functions
• Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
• On foundational discretization barriers in STFT phase retrieval
• Time-frequency analysis of operators
• History and evolution of the density theorem for Gabor frames
• Hamiltonian deformations of Gabor frames: first steps
• Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
• Harmonic Analysis in Phase Space. (AM-122)
• Modulation Spaces
• A Class of Nonharmonic Fourier Series
• Symplectic analysis of time-frequency spaces
• Time-frequency analysis on flat tori and Gabor frames in finite dimensions

This page was built for publication: Metaplectic Gabor frames and symplectic analysis of time-frequency spaces