Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line (Q1776817)
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scientific article; zbMATH DE number 2167758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line |
scientific article; zbMATH DE number 2167758 |
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Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line (English)
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12 May 2005
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It is well known the connection between orthogonal polynomials on the unit circle and those on a real interval via the Szegő transformation. The authors observe that this idea can be carried over to the so-called Sobolev orthogonality. In this way they are also able to improve some known asymptotic results for Sobolev orthogonal polynomials on an interval, allowing for a wider class of measures for which these results are valid.
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orthogonal polynomials
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Sobolev inner product
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Szegő theory
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