On the inversion of integral transforms associated with Sturm-Liouville problems

DOI10.1016/0022-247X(92)90157-9zbMath0753.34014OpenAlexW1990868454MaRDI QIDQ1192147

Ahmed I. Zayed, Gilbert G. Walter

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90157-9

zbMATH Keywords

Sturm-Liouville problemPoisson summation formulanonharmonic Fourier seriesinversion formulae for the continuous Sturm- Liouville transformation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Nontrigonometric harmonic analysis (42C99)

Related Items (5)

On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case. ⋮ Sampling theorems associated with singular \(q\)-Sturm Liouville problems ⋮ On the strum-liouville transform: the regular case^∗ ⋮ Generalization of a theorem of Boas to a class of integral transforms ⋮ Paley-Wiener-type theorems for a class of integral transforms

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