Analytic dependence of orthogonal polynomials (Q1192524)

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scientific article; zbMATH DE number 60976
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Analytic dependence of orthogonal polynomials
scientific article; zbMATH DE number 60976

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    Analytic dependence of orthogonal polynomials (English)
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    27 September 1992
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    Conditions are obtained for analyticity of the Gram-Schmidt procedure for the perturbation of a family of orthogonal polynomials introduced by Szegö. These results are then applied to establish the local analyticity of certain infinite-dimensional Toda flows.
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    analytic dependence
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    analyticity
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    Gram-Schmidt procedure
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    perturbation
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    orthogonal polynomials
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    infinite-dimensional Toda flows
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