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A Wiener Theorem for Orthogonal Polynomials

✍ Scribed by V. Hosel; R. Lasser

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
202 KB
Volume
133
Category
Article
ISSN
0022-1236

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✦ Synopsis

A well-known theorem by (\mathrm{N}). Wiener characterizes the discrete part of a complex Borel measure (\mu \in \mathbf{M}(T)) on the torus group (T). In this note an analoguous result is presented for orthonormal polynomial sequences (\left(p_{n}\right){n \in n{0}}). For Jacobi polynomials the characterization is investigated in detail. ' 1995 Acadenic Press. Inc

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