Product formulas, hypergroups, and the Jacobi polynomials
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Publication:3473380
DOI10.1090/S0273-0979-1990-15850-1zbMath0697.33006OpenAlexW1976419949MaRDI QIDQ3473380
William C. Connett, Alan L. Schwartz
Publication date: 1990
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15850-1
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Measure algebras on groups, semigroups, etc. (43A10)
Related Items (6)
Compact groups having almost discrete orbit hypergroups ⋮ Subsets of \(\mathbb{R}\) which support hypergroups with polynomial characters ⋮ On the Markov sequence problem for Jacobi polynomials ⋮ Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials ⋮ Hypergroups on two tori ⋮ The Markov sequence problem for the Jacobi polynomials and on the simplex
Cites Work
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- A product formula for the continuous q-Jacobi polynomials
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- The Littlewood-Paley Theory for Jacobi Expansions
- Linearization of the Product of Jacobi Polynomials. II
- The Measure Algebra of a Locally Compact Hypergroup
- A multiplier theorem for Jacobi expansions
- The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell
- Topologies on Spaces of Subsets
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