Evenly positive definite function of Hilbert space and some algebraic relationship

A generalization of P. A. Minlos, V. V. Sazonov’s theorem is proved in the case of bounded evenly positive definite function given in a Hilbert space. The integral representation is obtained for a family of bounded commutative self-adjoint operators which are connected by algebraic relationship.

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Bibliographic Details
Main Author: O. V. Lopotko
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2021-03-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/59
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