2 citations · 2 across the 4 of their papers we have counts for
4 papers
An equivalent representation of the Jacobi field of a Lévy process
Eugene Lytvynov
In [Yu.M. Berezansky, E. Lytvynov, D. A. Mierzejewski, Ukrainian Math. J. 55 (2003), 853--858 ], the Jacobi field of a Lévy process was derived. This field consists of commuting se…
Lévy processes and Jacobi fields
Eugene Lytvynov
We review the recent results on the Jacobi field of a (real-valued) Lévy process defined on a Riemannian manifold. In the case where the Lévy process is neither Gaussian, nor Poiss…
The square of white noise as a Jacobi field
E. Lytvynov
We identify the representation of the square of white noise obtained by L. Accardi, U. Franz and M. Skeide in [Comm. Math. Phys. 228 (2002), 123--150] with the Jacobi field of a Lé…
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…