Convolution and Hypergroup Structures Associated with a Class of Sturm- Liouville Systems

DOI10.2307/2154037zbMath0765.43006OpenAlexW4246051856MaRDI QIDQ4018441

William C. Connett, Clemens Markett, Alan L. Schwartz

Publication date: 16 January 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154037

zbMATH Keywords

hypergroupcharacterseigenfunctionsSturm-Liouville problemproduct formulas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on hypergroups (43A62) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Convolution, factorization for one variable harmonic analysis (42A85)

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