Subsets of R which support hypergroups with polynomial characters

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:65

Article; Proceedings Paper

Connett, WC ; Schwartz, AL

关键词: Jacobi polynomials;    hypergroups;    product formulas;    measure algebras;    orthogonal polynomials;   

DOI  :  10.1016/0377-0427(95)00101-8

来源: Elsevier

【 摘 要 】

It is shown that if a hypergroup (H, *), with H an infinite subset of R, has polynomial characters of every degree and if either H is compact or the polynomials are orthogonal with respect to a measure supported on H, then those polynomials are essentially the Jacobi polynomials. Related results are obtained for polynomial product formulas.

【 授权许可】

Free