Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
type: Item
instance of: scholarly article
title: Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
zbMATH Open document ID: 0786.60074
DOI: 10.1016/0393-0440(93)90075-P
published in: Journal of Geometry and Physics
publication date: 1993-12-06T00:00:00Z
review text: The aim of this paper is to examine the Sobolev calculus on the path space and on the free loop space. In both cases the key theorem is the integration by parts formula. The Sobolev spaces and space of smooth functions are defined. Examples of such functions are given. One of them is the solution of the Stratonovich stochastic differential equation in \(R^ d\). An Ornstein-Uhlenbeck operator is also considered.
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 436593
zbMATH Keywords: free loop space
zbMATH Keywords: Stratonovich stochastic differential equation
zbMATH Keywords: Ornstein- Uhlenbeck operator
author: Rémi Léandre
reviewed by: Jacek Jakubowski
MaRDI profile type: Publication
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full work available at URL: 0393-0440(93)90075-p
OpenAlex ID: W2035217078
description: scientific article; zbMATH DE number 436593