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Cohomology of topological groups and positive definite functions

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  • Guichardet, A.

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.

Suggested Citation

  • Guichardet, A., 1973. "Cohomology of topological groups and positive definite functions," Journal of Multivariate Analysis, Elsevier, vol. 3(3), pages 249-261, September.
    • Handle: RePEc:eee:jmvana:v:3:y:1973:i:3:p:249-261
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