Invariant Sobolev calculus on the free loop space

DOI10.1023/A:1005730013728zbMath0895.60055OpenAlexW1605545899MaRDI QIDQ1355860

Rémi Léandre

Publication date: 8 September 1998

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005730013728

zbMATH Keywords

free loop spaceBismut/Høegh-Krohn measureSobolev calculus on infinite-dimensional manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic calculus of variations and the Malliavin calculus (60H07) Infinite-dimensional manifolds (58B99) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

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