Szegő transformations and rational spectral transformations for associated polynomials

Authors:
L. Garza;F. Marcellán
Affiliations:
Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Spain and Universidad Autónoma de Tamaulipas, Carretera Sendero Nacional ...;Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this contribution we analyze rational spectral transformations related to associated polynomials with respect to probability measures supported on the interval [-1, 1]. The connection with rational spectral transformations of measures supported on the unit circle using the Szego transformation is presented.