Time-frequency analysis on flat tori and Gabor frames in finite dimensions

DOI10.1016/j.acha.2023.101622zbMath1530.42006arXiv2209.04191OpenAlexW4389610950MaRDI QIDQ6138934

Franz Luef, Luís Daniel Abreu, Nicki Holighaus, M. Speckbacher, Peter Balazs

Publication date: 16 January 2024

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

Full work available at URL: https://arxiv.org/abs/2209.04191

zbMATH Keywords

flat torussampling theoryshort-time Fourier transformFeichtinger algebraDGT frames

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Banach spaces of continuous, differentiable or analytic functions (46E15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Sampling theory in information and communication theory (94A20)

Related Items (1)

Metaplectic Gabor frames and symplectic analysis of time-frequency spaces

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