Cohomology of topological groups and positive definite functions

A. Guichardet

Journal of Multivariate Analysis, 1973, vol. 3, issue 3, 249-261

Abstract: In recent years, applications of cohomology theory to some aspects of probability theory have been found useful. In this paper, such applications are discussed for a determination of infinitely divisible positive definite functions on topological groups. This theory can be viewed as a new method for determining the class of such characteristic functions which includes the classical Leavy-Khintchine representation formula for the groups Rn.

Keywords: Cohomology theory of topological groups unitary representations positive definite functions of type (S) infinitely divisible characteristic functions; Lévy-Khintchine formula (search for similar items in EconPapers)
Date: 1973
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