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Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds

We obtain the conditions of essential self-adjointness of Dirichlet operators of Gibbs measures with essential domains consisting of smooth cylindrical functions. It is proved that certain spaces of smooth functions are invariant under the action of the semigroup of the Dirichlet operator.

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Bibliographic Details
Date:	1995
Main Authors:	Antoniouk, A. Vict., Antoniouk, A. Val., Kondratiev, Yu. G., Антонюк, О. Вік., Антонюк, О. Вал., Кондратьєв, Ю. Г.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5376
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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