An equivalent representation of the Jacobi field of a Lévy process

Simple item page
dc.creatorLytvynov, Eugene
dc.date2005-01-25
dc.date.accessioned2026-07-07T05:16:23Z
dc.date.available2026-07-07T05:16:23Z
dc.descriptionIn [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 self-adjoint operators acting in an extended (interacting) Fock space. However, these operators have a quite complicated structure. In this note, using ideas from [L. Accardi. U. Franz, M. Skeide, Comm. Math. Phys. 228 (2002), 123--150] and [E. Lytvynov, Infin. Dimen. Anal. Quant. Prob. Rel. Top. 7 (2004), 619--629], we obtain a unitary equivalent representation of the Jacobi field of a Lévy process. In this representation, the operators act in a usual symmetric Fock space and have a much simpler structure.
dc.identifierhttps://arxiv.org/abs/math/0501450
dc.identifierhttp://arxiv.org/abs/math/0501450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73969
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject60G20; 60G51; 60H40; 47B36
dc.titleAn equivalent representation of the Jacobi field of a Lévy process
dc.typetext

Files

Collections

arXiv