Ramanujan's master theorem for Sturm Liouville operator

DOI10.1007/s00605-022-01769-zOpenAlexW4287902764WikidataQ115236661 ScholiaQ115236661MaRDI QIDQ2084344

Sanjoy Pusti, Jotsaroop Kaur

Publication date: 18 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07177

zbMATH Keywords

Sturm-Liouville operatorRamanujan's master theoremcompact dual

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

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Cites Work

• Ramanujan's master theorem for Riemannian symmetric spaces
• Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems
• \(L^{p}\)-Fourier analysis for certain differential-reflection operators
• Ramanujan's master theorem and duality of symmetric spaces
• Sur un théorème de Paley-Wiener associe à la décomposition spectrale d'un opérateur de Sturm-Liouville sur \([0, \infty\)]
• Ramanujan's master theorem
• Maximal theorems for some orthogonal series II
• Equiconvergence theorems for Chébli-Trimèche hypergroups
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
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