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Internaional conference «Modern Mathematical Physics. Vladimirov-95»
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Diffusion in Hilbert space endowing with traslationary rotationary invariant measure 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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