Integration by parts in loop spaces

DOI10.1007/s002080050115zbMath0899.58008OpenAlexW2081808477MaRDI QIDQ1380083

Elton P. Hsu

Publication date: 19 May 1998

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050115

zbMATH Keywords

path spaceintegration by partsloop space

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Spaces of embeddings and immersions (58D10) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (8)

Asymptotic behavior of divergences and Cameron-Martin theorem on loop spaces. ⋮ Martingale representation and logarithmic-Sobolev inequality for the fractional Ornstein-Uhlenbeck measure ⋮ On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold ⋮ On integration by parts formula and characterization of fractional Ornstein-Uhlenbeck process ⋮ Unnamed Item ⋮ Stochastic heat equations for infinite strings with values in a manifold ⋮ A Poincaré inequality on loop spaces ⋮ The log-Sobolev inequality on loop space over a compact Riemannian manifold

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