Перегляд за автором "Berezansky, Yu.M."

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Integration of a modified double-infinite Toda lattice by using the inverse spectral problem 
    Berezansky, Yu.M. (Український математичний журнал, 2008)
    The approach to finding the solution of the Cauchy problem for the indicated Toda lattice by means of inverse spectral problem is given.
  • On the theory of generalized Toeplitz kernels 
    Berezansky, Yu.M.; Chernobai, О.В. (Український математичний журнал, 2000)
    A new proof of the integral representation of the generalized Toeplitz kernels is given. This proof is based on the spectral theory of the corresponding differential operator that acts in the Hilbert space constructed from ...
  • 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 ...
  • The Jacobi Field of a Lévy Process 
    Berezansky, Yu.M.; Lytvynov, E.; Mierzejewski, D.A. (Український математичний журнал, 2003)
    We derive an explicit formula for the Jacobi field that is acting in an extended Fock space and corresponds to an ( R -valued) Lévy process on a Riemannian manifold. The support of the measure of jumps in the Lévy–Khintchine ...