Behavior of Gabor frame operators on Wiener amalgam spaces

DOI10.1142/S0219691316500284zbMath1350.42051arXiv1507.04549MaRDI QIDQ2818332

Anirudha Poria

Publication date: 7 September 2016

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04549

zbMATH Keywords

windowed Fourier transformWiener amalgam spaceGabor frameWexler-Raz biorthogonalityJanssen's representation

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)

Related Items (2)

Some identities and inequalities for Hilbert-Schmidt frames ⋮ Approximation of the inverse frame operator and stability of Hilbert-Schmidt frames

Cites Work

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• Wiener amalgam spaces for the fundamental identity of Gabor analysis
• Asymptotic properties of Gabor frame operators as sampling density tends to infinity
• Continuity properties of the Gabor frame operator
• Poisson summation, the ambiguity function, and the theory of Weyl-Heisenberg frames
• Duality and biorthogonality for Weyl-Heisenberg frames

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