Laplacian Generated by the Gaussian Measure and Ergodic Theorem

Authors

  • Yu. V. Bogdanskii
  • Ya. Yu. Sanzharevskii

Abstract

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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Published

25.09.2015

Issue

Vol. 67 No. 9 (2015)

Section

Research articles

How to Cite

Bogdanskii, Yu. V., and Ya. Yu. Sanzharevskii. “Laplacian Generated by the Gaussian Measure and Ergodic Theorem”. Ukrains’kyi Matematychnyi Zhurnal, vol. 67, no. 9, Sept. 2015, pp. 1172-80, https://umj.imath.kiev.ua/index.php/umj/article/view/2056.