The two-dimensional moment problem in a strip (Q2850445)
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scientific article; zbMATH DE number 6212591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The two-dimensional moment problem in a strip |
scientific article; zbMATH DE number 6212591 |
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26 September 2013
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two-dimensional moment problem
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generalized resolvents
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math.FA
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The two-dimensional moment problem in a strip (English)
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The author gives a description of all solution measures \(\mu\) of the moment problem NEWLINE\[NEWLINE \int_\Pi x_1^m x_2^n\, d\mu=s_{m,n},\quad m,n\in \mathbb Z_+, NEWLINE\]NEWLINE where \(\Pi =\{ (x_1,x_2)\in \mathbb R^2: | x_2| \leq R\}\), \(R>0\), \(\{ s_{m,n}\}_{m,n\in \mathbb Z_+}\) is a prescribed sequence of complex numbers. The author uses the operator approach to moment problems and \textit{A. V. Shtraus}' theorem on generalized resolvents [Izv. Akad. Nauk SSSR, Ser. Mat. 18, 51--86 (1954; Zbl 0055.10903)].
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