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Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 14, 2018 12:00–12:30, Moscow, Steklov Mathematical Institite, 8, Gubkina str., Conference hall
 


Diffusion in Hilbert space endowing with traslationary rotationary invariant measure

V. Zh. Sakbaev
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MP4 991.0 Mb
MP4 450.0 Mb

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V. Zh. Sakbaev


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Abstract: A measures on real separable Hilbert space which is invariant with respect to the shift on any vector and to any orthogonal mapping are studied. The mean values of operator of a shift on random vector with Gaussian distributions are investigated. It had been proved that the family of mean values of random shift operators is the semigroup of self-adjoint contractions which is not strongly continuous. The structure of general semigroup of self-adjoint contractions in Hilbert space without the strong continuity property had been described.

Language: English

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