期刊论文详细信息
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 卷:153
Inverse images of polynomial mappings and polynomials orthogonal on them
Article; Proceedings Paper
Peherstorfer, F
关键词: orthogonal polynomials;    polynomial mappings;    inverse images;    functionals;    positive measure;    positive definite;   
DOI  :  10.1016/S0377-0427(02)00628-3
来源: Elsevier
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【 摘 要 】

Let T be a polynomial with complex coefficients. First, we study the inverse images of the real and imaginary axes under a polynomial mapping T in detail. Then for an arbitrary polynomial rho and a sequence (p(n)) of orthogonal polynomials the orthogonality behaviour of the sequence of polynomials (rho(p(n) o T))(nis an element ofN) is investigated. In particular necessary and sufficient conditions are given such that (rho(p(n) o T))(nis an element ofN) is a subsequence of polynomials orthogonal with respect to a positive measure supported on a compact subset of the real line. (C) 2002 Elsevier Science B.V. All rights reserved.

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