21 citations · 21 across the 4 of their papers we have counts for
4 papers
Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem
Yurij M. Berezansky
It is proved that the Poisson measure is a spectral measure of some family of commuting selfadjoint operators acting on a space constructed from some generalization of the moment p…
On a spectral representation for correlation measures in configuration space analysis
Yu. M. Berezansky, Yu. G. Kondratiev, T. Kuna +1
The paper is devoted to the study of configuration space analysis by using the projective spectral theorem. For a manifold , let , resp.\ denote the space of all,…
Image of the spectral measure of a Jacobi field and the corresponding operators
Yurij M. Berezansky, Eugene W. Lytvynov, Artem D. Pulemyotov
By definition, a Jacobi field is a family of commuting selfadjoint three-diagonal operators in the Fock space . The operators are indexe…
The Jacobi field of a Lévy process
Yuri M. Berezansky, Eugene Lytvynov, Dmytro A. Mierzejewski
We derive an explicit formula for the Jacobi field that is acting in an extended Fock space and corresponds to an (-valued) Lévy process on a Riemannian manifold. The support o…