Subsets of \(\mathbb{R}\) which support hypergroups with polynomial characters
DOI10.1016/0377-0427(95)00101-8zbMath0857.43007OpenAlexW1964907177MaRDI QIDQ1917930
Alan L. Schwartz, William C. Connett
Publication date: 3 March 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(95)00101-8
Banach algebrahypergroupcharactersrepresentationsJacobi polynomialsprobability measureHausdorff space
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) Harmonic analysis on hypergroups (43A62) Measure algebras on groups, semigroups, etc. (43A10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spaces with an abstract convolution of measures
- Banach algebras for Jacobi series and positivity of a kernel
- Product formulas, hypergroups, and the Jacobi polynomials
- The Product Formula and Convolution Structure for the Generalized Chebyshev Polynomials
- Mesures Invariantes Sur Les Hypergroupes
- Orthogonal Polynomials and a Discrete Boundary Value Problem I
- Orthogonal Polynomials and a Discrete Boundary Value Problem II
- A CHARACTERIZATION THEOREM FOR POSITIVE DEFINITE SEQUENCES ON THE KRAWTCHOUK POLYNOMIALS1
- Linearization of the Product of Jacobi Polynomials. II
- The Measure Algebra of a Locally Compact Hypergroup
- Topologies on Spaces of Subsets