Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms

DOI10.1016/S0196-8858(02)00032-5zbMath1020.44006MaRDI QIDQ1867013

Tuan, V. K.

Publication date: 2 April 2003

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

zbMATH Keywords

Hankel transformPaley-Wiener theoremBoas theoremsingular Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (5)

Real Paley-Wiener theorems for the Koornwinder-Swarttouw \(q\)-Hankel transform ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Donoho-Stark and Paley-Wiener theorems for the \(G\)-transform ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ New Paley-Wiener theorems

Cites Work

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• On the range of the Hankel and extended Hankel transforms
• Paley-Wiener-type theorems for a class of integral transforms
• Generalization of a theorem of Boas to a class of integral transforms
• A Property of Infinitely Differentiable Functions
• Some Special Tauberian Theorems for Fourier Type Integrals and Eigenfunction Expansions of Sturm‐Liouville Equations on the Whole Line
• A Distributional Hankel Transformation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Spectrum of signals

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