Publication:
Linear spectral transformations and Laurent polynomials

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URI: https://hdl.handle.net/10016/5893
ISSN: 1660-5446 (Print)
ISSN: 1660-5454 (Online)
DOI: 10.1007/s00009-009-0008-5
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linear_marcellan_MJM_2009_ps.pdf (254.02 KB)
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2009-09-17
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Birkhäuser Basel
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Abstract
In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out.
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17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.
Keywords
Quasi-definite linear functionals, Laurent polynomials, Linear spectral transformations, Hessenberg matrices, Verblunsky parameters
Bibliographic citation
Mediterranean Journal of Mathematics, 2009, vol. 6, n. 3, p. 273-289
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