Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations
Abstract
Description
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.
Latex, 52 pages, detailed version, some results are shortly ann ounced in Fundam. i Prikl. Math. V. 7, N 4, 1091-1105 (2001)
Latex, 52 pages, detailed version, some results are shortly ann ounced in Fundam. i Prikl. Math. V. 7, N 4, 1091-1105 (2001)