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OnV-Extremal Solutions of the Moment Problem

โœ Scribed by M. Yu. Kuvshinov


Book ID
110396828
Publisher
SP MAIK Nauka/Interperiodica
Year
2002
Tongue
English
Weight
160 KB
Volume
72
Category
Article
ISSN
0001-4346

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By using the theory of the principal function of a hyponormal operator with rank-one self-commutator, one classifies some extremal points of the solutions of the truncated L-problem of moments in two real variables. These extremal elements, called degenerated solutions of the L-problem, are proved t

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The extremal solutions of the truncated L-problem of moments in two real variables, with support included in a given compact set, are described as characteristic functions of semi-algebraic sets given by a single polynomial inequality. An exponential kernel, arising as the determinantal function of