Laplacian Generated by the Gaussian Measure and Ergodic Theorem

We consider the Laplacian generated by the Gaussian measure on a separable Hilbert space and prove the ergodic theorem for the corresponding one-parameter semigroup.

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Bibliographic Details
Date:2015
Main Authors: Bogdanskii, Yu. V., Sanzharevskii, Ya. Yu., Богданский, Ю. В., Санжаревский, Я. Ю.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2056
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal