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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61022Stochastic 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)Group Theory20F65 (Primary) 58J65 (Secondary)Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representationstext