Gabor Frames without Inequalities

DOI10.1093/imrn/rnm111zbMath1147.42013arXivmath/0703379OpenAlexW2085460648MaRDI QIDQ5439954

Karlheinz Gröchening

Publication date: 30 January 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703379

zbMATH Keywords

Gabor framesModulation spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (17)

On a (no longer) new Segal algebra: a review of the Feichtinger algebra ⋮ Gabor (super)frames with Hermite functions ⋮ The density theorem for discrete series representations restricted to lattices ⋮ Time-frequency partitions and characterizations of modulation spaces with localization operators ⋮ Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions ⋮ A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators ⋮ Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames ⋮ Characterization of coorbit spaces with phase-space covers ⋮ Gabor Frames: Characterizations and Coarse Structure ⋮ The mystery of Gabor frames ⋮ Sampling measures for the Gabor transform ⋮ Multivariate Gabor frames and sampling of entire functions of several variables ⋮ Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions ⋮ On a necessary condition for B-spline Gabor frames ⋮ Duality of Gabor frames and Heisenberg modules ⋮ On Gabor g-frames and Fourier series of operators ⋮ Deformation of Gabor systems

This page was built for publication: Gabor Frames without Inequalities