Donoho-Stark and Paley-Wiener theorems for the \(G\)-transform

DOI10.1016/j.aam.2009.11.012zbMath1196.44002OpenAlexW2033410155MaRDI QIDQ972861

Semyon B. Yakubovich, Tuan, V. K.

Publication date: 21 May 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.11.012

zbMATH Keywords

Mellin transformPaley-Wiener theoremMeijer's \(G\)-functionDonoho-Stark uncertainty principle\(G\)-transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (6)

On essentially time and Hankel band-limited functions ⋮ On support properties of functions and their Jacobi transform ⋮ A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces ⋮ Variations on uncertainty principles for integral operators ⋮ Fourier-like multipliers and applications for integral operators ⋮ New Paley-Wiener theorems

Cites Work

• On support properties of Lsup(p)-functions and their Fourier transforms
• An uncertainty principle for integral operators
• The uncertainty principle: A mathematical survey
• Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms
• Uncertainty Principles and Signal Recovery
• Hardy’s theorem and rotations
• A Property of Infinitely Differentiable Functions
• An uncertainty principle for Hankel transforms
• Notes on the Theory and Application of Fourier Transforms, III, IV, V, VI, VII
• Uncertainty principles for the Hankel transform
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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