English

On the L\'evy-Khinchin decomposition of generating functionals

Probability 2021-04-21 v2 Functional Analysis Operator Algebras

Abstract

We study several sufficient conditions for the existence of a L\'evy-Khinchin decomposition of generating functionals. We show that none of these conditions are equivalent and we show that such a decomposition does not always exist.

Cite

@article{arxiv.1510.03292,
  title  = {On the L\'evy-Khinchin decomposition of generating functionals},
  author = {Uwe Franz and Malte Gerhold and Andreas Thom},
  journal= {arXiv preprint arXiv:1510.03292},
  year   = {2021}
}

Comments

16 pages

R2 v1 2026-06-22T11:18:09.748Z