Open Access
March 2009 Verblunsky Parameters and Linear Spectral Transformations
L. Garza, F. Marcellan
Methods Appl. Anal. 16(1): 69-86 (March 2009).

Abstract

In this paper we analyze the behavior of Verblunsky parameters for Hermitian linear functionals deduced from canonical linear spectral transformations of a quasi-definite Hermitian linear functional. Some illustrative examples are studied.

Citation

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L. Garza. F. Marcellan. "Verblunsky Parameters and Linear Spectral Transformations." Methods Appl. Anal. 16 (1) 69 - 86, March 2009.

Information

Published: March 2009
First available in Project Euclid: 19 October 2009

zbMATH: 1176.42021
MathSciNet: MR2556830

Subjects:
Primary: 42C05

Keywords: Christoffel transformation , Geronimus transformation , orthogonal polynomials , Quasi-definite Hermitian linear functionals , Uvarov transformation , Verblunsky parameters

Rights: Copyright © 2009 International Press of Boston

Vol.16 • No. 1 • March 2009
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