Schoenberg Correspondence on Dual Groups
Operator Algebras
2012-11-06 v2 Probability
Abstract
As in the classical case of L\'evy processes on a group, L\'evy processes on a Voiculescu dual group are constructed from conditionally positive functionals. It is essential for this construction that Schoenberg correspondence holds for dual groups: The exponential of a conditionally positive functional is a convolution semigroup of states.
Cite
@article{arxiv.1210.1830,
title = {Schoenberg Correspondence on Dual Groups},
author = {Michael Schürmann and Stefan Voß},
journal= {arXiv preprint arXiv:1210.1830},
year = {2012}
}