Methods and Applications of Analysis

Volume 16 (2009)

Number 1

Verblunsky Parameters and Linear Spectral Transformations

Pages: 69 – 86

DOI: https://dx.doi.org/10.4310/MAA.2009.v16.n1.a5

Authors

L. Garza

F. Marcellan

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.

Keywords

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

2010 Mathematics Subject Classification

42C05

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Published 1 January 2009