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Verblunsky parameters and linear spectral transformations

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URI: https://hdl.handle.net/10016/5902
ISSN: 1073-2772
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verblunsky_marcellan_maa_2009_ps.pdf (176.81 KB)
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2009-03
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International Press
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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.
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18 pages, no figures.-- MSC2000 codes: 42C05.
Keywords
Quasi-definite hermitian linear functionals, Orthogonal polynomials, Christoffel transformation, Uvarov transformation, Geronimus transformation, Verblunsky parameters
Bibliographic citation
Methods and Applications of Analysis, 2009, vol. 16, n. 1, p. 69-86
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