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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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Bibliographische Detailangaben
Datum:	1995
Hauptverfasser:	Antoniouk, A. Vict., Antoniouk, A. Val., Kondratiev, Yu. G., Антонюк, О. Вік., Антонюк, О. Вал., Кондратьєв, Ю. Г.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1995
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/5376
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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