Lattice size estimates for Gabor decompositions

DOI10.1007/BF01300672zbMath0848.42022OpenAlexW2080731940MaRDI QIDQ688748

David F. Walnut

Publication date: 16 October 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178607

zbMATH Keywords

modulation spacesZak transformBanach framebasic functionGabor frame operatorSchwartz function

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General harmonic expansions, frames (42C15) Linear function spaces and their duals (46E99)

Related Items

Time-frequency analysis of Sjöstrand's class ⋮ Gabor representations of evolution operators ⋮ The Gabor wave front set ⋮ Gabor Frames: Characterizations and Coarse Structure ⋮ The mystery of Gabor frames

Cites Work

• Unnamed Item
• Unnamed Item
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Modulation spaces on the Euclidean n-space
• Describing functions: Atomic decompositions versus frames
• Abelian harmonic analysis, theta functions and function algebras on a nilmanifold
• Atomic characterizations of modulation spaces through Gabor-type representations
• A Riesz basis for Bargmann-Fock space related to sampling and interpolation
• Painless nonorthogonal expansions
• Bargmann transform, Zak transform, and coherent states
• A Simple Wilson Orthonormal Basis with Exponential Decay
• The wavelet transform, time-frequency localization and signal analysis
• Wilson Bases and Modulation Spaces
• Continuous and Discrete Wavelet Transforms
• A Class of Nonharmonic Fourier Series