Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

Details Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

2001-02-28

arxiv.org/abs/math/0102222v2

Mathematics

Group Theory

Latex, 52 pages, detailed version, some results are shortly ann ounced in Fundam. i Prikl. Math. V. 7, N 4, 1091-1105 (2001)

Scientific paper

Stochastic processes are considered on free loop spaces, geometric loop and diffeomorphism groups of real and complex manifolds. They are used for investigations of Wiener differentiable quasi-invariant measures on such groups relative to dense subgroups. There are considered finite-dimensional and also infinite-dimensional manifolds. Such measures are used for the investigation of associated unitary representations of these groups.

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