期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 411, 期 2, 页码 742-752出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.10.014
关键词
Three-term recurrence relation; Orthogonal polynomials on the real line; Szego recurrences; Orthogonal polynomials on the unit circle; Perturbed Verblunsky coefficients
资金
- CNPq Program/Young Talent Attraction
- Ministerio da Ciencia
- Tecnologia e Inovacao of Brazil [370291/2013-1]
- Direccion General de Investigacion, Ministerio de Economia y Competitividad of Spain [MTM2012-36732-C03-01]
The purpose of the present contribution is to investigate the effects of finite modifications of Verblunsky coefficients on Szego recurrences. More precisely, we study the structural relations and the corresponding C-functions of the orthogonal polynomials with respect to these modifications from the initial ones. (C) 2013 Elsevier Inc. All rights reserved.
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