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Spectral transformations of measures supported on the unit circle and the Szegö transformation

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URI: https://hdl.handle.net/10016/5914
ISSN: 1017-1398 (Print)
ISSN: 1572-9265 (Online)
DOI: 10.1007/s11075-008-9156-0
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spectral_marcellan_na_2008_ps.pdf (603.47 KB)
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2008-12
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Springer
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Abstract
In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations of measures supported on the interval [−1,1] using the Szegö transformation is presented. Some numerical examples are studied.
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17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.
MR#: MR2457097 (2009k:42046)
Zbl#: Zbl 1169.42009
Keywords
Measures on the unit circle, Orthogonal polynomials, Carathéodory functions, Spectral transformations, LU factorization
Bibliographic citation
Numerical Algorithms, 2008, vol. 49, n. 1-4, p. 169-185
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