Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system

DOI10.4171/ZAA/975zbMath0970.44003MaRDI QIDQ5926110

Ahmed I. Zayed, Tuan, V. K.

Publication date: 21 October 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48917

zbMATH Keywords

integral transformsAiry and Bessel function as kernelsHartley transformPayley-Wiener theoremsingular Dirac system

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (7)

A finite and an infinite Whittaker integral transform ⋮ Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ New Paley-Wiener theorems

Cites Work

• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• New type Paley-Wiener theorems for the modified multidimensional Mellin transform
• On the range of the Hankel and extended Hankel transforms
• Paley-Wiener-type theorems for a class of integral transforms
• A Property of Infinitely Differentiable Functions
• On the range of the Y-transform
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