A modified and a finite index Weber transforms

DOI10.4171/ZAA/1080zbMath1025.44005MaRDI QIDQ699301

Tuan, V. K., Fadhel A. Al-Musallam

Publication date: 12 November 2002

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

zbMATH Keywords

Sturm-Liouville problemBessel functionsfinite transformsindex trasnformWeber transform

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (5)

Combinations of cross-products of Bessel functions, associated addition formulas and biorthogonal systems ⋮ Asymptotic approximations for solutions of Sturm-Liouville differential equations with a large complex parameter and nonsmooth coefficients ⋮ Index transforms with Weber-type kernels ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ A generalized Weber transform and its inverse formula

Cites Work

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• Paley-Wiener-type theorems for a class of integral transforms
• Generalization of a theorem of Boas to a class of integral transforms
• A whittaker transform over a half-line

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