Subsets of R which support hypergroups with polynomial characters

[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.

[发布日期] 1995-12-29

[效力级别]  Proceedings Paper

[关键词] Jacobi polynomials;hypergroups;product formulas;measure algebras;orthogonal polynomials