Generalization of a theorem of Boas to a class of integral transforms

DOI10.1007/BF03322017zbMath0973.44003MaRDI QIDQ1840592

Ahmed I. Zayed, Tuan, V. K.

Publication date: 22 November 2001

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular Sturm-Liouville problemFourier sine and cosine transformsWeber transformgeneral integral transform

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 ⋮ A study of the sequence of norm of derivatives (or primitives) of functions depending on their Beurling spectrum ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ A modified and a finite index Weber transforms ⋮ Behavior of the sequence of norms of primitives of a function ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ Paley-Wiener and Boas theorems for singular Sturm-Liouville integral transforms

Cites Work

• On the inversion of integral transforms associated with Sturm-Liouville problems
• 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 integral transforms whose kernels are solutions of singular Sturm–Liouville problems
• On the range of the Y-transform
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