A Lévy-Khinchin formula for free groups

Haagerup, Uffe; Knudby, Søren

doi:10.1090/S0002-9939-2014-12466-X

A Lévy-Khinchin formula for free groups
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by Uffe Haagerup and Søren Knudby PDF

Proc. Amer. Math. Soc. 143 (2015), 1477-1489 Request permission

Abstract:

We find a Lévy-Khinchin formula for radial functions on free groups. As a corollary we obtain a linear bound on the growth of radial, conditionally negative definite functions on free groups of two or more generators.

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