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Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces

✍ Scribed by R. Leandre

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 606 KB
Volume: 11
Category: Article
ISSN: 0393-0440
DOI: 10.1016/0393-0440(93)90075-p

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✦ Synopsis

We give formulas for integration by parts over the path space and over the loop space of a manifold. We define Sobolev spaces and an Ornstein-Uhlenbeck operator on the loop space. We find some functionals which belongto all the Sobolev spaces.

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