Differential calculus on finite codimensional submanifolds of the Wiener space: The divergence operator

DOI10.1016/0022-1236(91)90113-JzbMath0731.60059MaRDI QIDQ808101

Hélène Airault

Publication date: 1991

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

zbMATH Keywords

Malliavin calculusChristoffel symbolsfinite codimensional submanifoldsWeitzenböck-Bochner identity

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic analysis (60H99)

Related Items (5)

De Rham-Hodge-Kodaira operator on loop groups ⋮ Large deviation principle for fractional Brownian motion with respect to capacity ⋮ Integration on loop groups. II: Heat equation for the Wiener measure ⋮ A Gaussian kinematic formula ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Equations différentielles ordinaires: Non explosion et mesures quasi- invariantes
• Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
• Lectures on stochastic differential equations and Malliavin calculus
• De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
• L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel
• Positive generalized Wiener functions and potential theory over abstract Wiener spaces
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