2019
Том 71
№ 11

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

Antoniouk A. Val., Antoniouk A. Vict., Kondratiev Yu. G.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 1, pp 2-10.

Citation Example: Antoniouk A. Val., Antoniouk A. Vict., Kondratiev Yu. G. Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds // Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 4–11.

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