Integration by parts for heat measures over loop groups

DOI10.1016/S0021-7824(99)00133-6zbMath0997.58022OpenAlexW2075899292WikidataQ125627535 ScholiaQ125627535MaRDI QIDQ1568995

Shizan Fang

Publication date: 22 June 2000

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(99)00133-6

zbMATH Keywords

loop groupintegration by partsheat measures

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (11)

Hamilton-Jacobi semi-groups in infinite dimensional spaces ⋮ Optimal transport maps for Monge-Kantorovich problem on loop groups ⋮ Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry ⋮ HEAT KERNEL MEASURE ON LOOP AND PATH GROUPS ⋮ Harnack and HWI inequalities on infinite-dimensional spaces ⋮ A Poincaré inequality on loop spaces ⋮ Deviation inequalities and the law of iterated logarithm on the path space over a loop group ⋮ LOGARITHMIC SOBOLEV INEQUALITY FOR $H_0^s$-METRIC ON PINNED LOOP GROUPS ⋮ Riemannian connections and curvatures on the universal Teichmüller space ⋮ Riemannian distance, Rademacher theorem and transportation cost inequality on loop groups. ⋮ Convergence of finite dimensional distributions of heat kernel measures on loop groups

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