La paramétrisation de Nevanlinna dans le problème des moments de Hamburger (Q1064508)

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scientific article; zbMATH DE number 3919044
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La paramétrisation de Nevanlinna dans le problème des moments de Hamburger
scientific article; zbMATH DE number 3919044

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    La paramétrisation de Nevanlinna dans le problème des moments de Hamburger (English)
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    1984
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    Using quasi-spectral measures, a proof of the theorem in the title [Theorem 3.3.2, p. 98 of \textit{N. I. Akhiezer}, The classical moment problem and some related questions in analysis (1965; Zbl 0173.410); for a review of the Russian (1961) see Zbl 0124.062)], and some precisions concerning an operator introduced by \textit{H. J. Landau} [J. Funct. Anal. 38, 255-272 (1980; Zbl 0446.44006)] are given.
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    Hamburger moment problem
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    quasi-spectral measure
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    Nevanlinna class
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    Stieltjes transform
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