On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation

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• 作者：Kenier Castillo ; ^a ; ^{kcastill@math.uc3m.es} ; ^{kenier@mat.uc.pt} ; ^{castillokenier@gmail.com} ; ^{keniermadrid@gmail.com} ; Francisco Marcell&aacute ; n^b ; ^{pacomarc@ing.uc3m.es} ; Jorge Rivero^c ; ^{jorivero83@gmail.com}
• 关键词：Szegő transformation ; Co-polynomials ; Spectral transformations ; Transfer matrices
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 June 2017
• 年：2017
• 卷：302
• 期：Complete
• 页码：97-110
• 全文大小：427 K
• 卷排序：302

文摘

By using the Szegő’s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover, we study the relation between the corresponding SS-functions and CC-functions.