Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds
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.Downloads
Published
25.01.1995
Issue
Section
Research articles
How to Cite
Antoniouk, A. Vict., et al. “Essential Self-Adjointness of Dirichlet Operators of Gibbs Measures on Infinite Products of Manifolds”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 1, Jan. 1995, pp. 4–11, https://umj.imath.kiev.ua/index.php/umj/article/view/5376.