Dilatation vector fields on the loop group

DOI10.1006/jfan.1999.3417zbMath0956.22013OpenAlexW2028977550MaRDI QIDQ1304655

Maria Elvira Mancino

Publication date: 22 September 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3417

zbMATH Keywords

heat equationBrownian bridgecompact connected Lie grouploop spacetangent processfirst-order differential operatorBrownian loopdilation vector field

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

• Unnamed Item
• Integration on loop groups. I: Quasi invariant measures
• De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
• Non perturbative construction of invariant measure through confinement by curvature
• Integration on loop groups. II: Heat equation for the Wiener measure
• Renormalized differential geometry on path space: Structural equation, curvature
• Integration by parts formulas and dilatation vector fields on elliptic probability spaces

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