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arXiv · 1210.1830

Schoenberg Correspondence on Dual Groups

Michael Schürmann·Stefan Voß
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Abstract

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.

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Michael Schürmann, Stefan Voß. 2012-11-05. Schoenberg Correspondence on Dual Groups. https://arxiv.org/abs/1210.1830

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