Перегляд Український математичний журнал, 2007, том 59 за автором "Berezansky, Yu.M."

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A generalization of an extended stochastic integral

Albeverio, S.; Berezansky, Yu.M.; Tesko, V.A. (Український математичний журнал, 2007)

We propose a generalization of an extended stochastic integral in the case of integration with respect to a wide class of random processes. In particular, we obtain conditions for the coincidence of the considered ...
Spectral theory and Wiener-Itô decomposition for the image of a Jacobi field

Berezansky, Yu.M.; Pulemyotov, A.D. (Український математичний журнал, 2007)

Assume that K⁺ : H_ → T_ is a bounded operator, where H_ and T_ are Hilbert spaces and ρ is a measure on the space H_. Denote by ρK the image of the measure ρ under K⁺. This paper aims to study the measure ρK assuming ρ ...

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