Trigonometric convolution structures on Z derived from Jacobi polynomials

[摘要] We introduce systems of trigonometric polynomials which are orthogonal on the unit circle and arise from Jacobi polynomials by a certain complexification. It is shown that the product formula of such a system, though containing negative linearization coefficients, leads to a Banach algebra of measures on Z in a canonical way.

[发布日期] 1995-12-29

[效力级别]  Proceedings Paper

[关键词] Jacobi polynomials;trigonometric polynomials;linearization of products;convolution algebras