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Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

✍ Scribed by L. Garza; J. Hernández; F. Marcellán

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 657 KB
Volume: 233
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.11.023

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✦ Synopsis

In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.

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