Communications in Mathematical Physics

, Volume 328, Issue 2, pp 849–865

Schoenberg Correspondence on Dual Groups


DOI: 10.1007/s00220-013-1872-1

Cite this article as:
Schürmann, M. & Voß, S. Commun. Math. Phys. (2014) 328: 849. doi:10.1007/s00220-013-1872-1


As in the classical case of Lévy processes on a group, Lévy 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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of GreifswaldGreifswaldGermany

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