Analysis of a Class of Probability Preserving Measure Algebras on Compact Intervals
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Publication:3483803
DOI10.2307/2001764zbMath0704.43002OpenAlexW4237120045MaRDI QIDQ3483803
William C. Connett, Alan L. Schwartz
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2001764
charactersJacobi polynomialsSturm-Liouville problemsBessel functionsprobability measureshypergroupsJacobi-type hypergroupsclosed bounded intervals
Sturm-Liouville theory (34B24) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic analysis on hypergroups (43A62) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Measure algebras on groups, semigroups, etc. (43A10)
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Cites Work
- Hypergroups and hypergroup algebras
- Product formulas and convolution structure for Fourier-Bessel series
- Spaces with an abstract convolution of measures
- Maximal theorems for some orthogonal series II
- Banach algebras for Jacobi series and positivity of a kernel
- Classification of One-Dimensional Hypergroups
- Mesures Invariantes Sur Les Hypergroupes
- The Littlewood-Paley Theory for Jacobi Expansions
- Convolution and Hypergroup Structures Associated with a Class of Sturm- Liouville Systems
- The theory of ultraspherical multipliers
- The Measure Algebra of a Locally Compact Hypergroup
- A multiplier theorem for Jacobi expansions
- Topologies on Spaces of Subsets
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
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