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 | |
【 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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【 预 览 】
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10_1016_S0377-0427(02)00628-3.pdf | 200KB | download |