Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\)

DOI10.5802/ambp.48zbMath0874.58091OpenAlexW2004901530MaRDI QIDQ1921302

Paul Malliavin, Hélène Airault

Publication date: 6 November 1997

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1996__3_1_1_0

zbMATH Keywords

heat operatorWiener spaceCameron-Martin spacetwisted derivatives

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Large deviations and the Malliavin calculus
• Integration on loop groups. II: Heat equation for the Wiener measure
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Projection of the infinitesimal generator of a diffusion
• Integration by parts formulas and dilatation vector fields on elliptic probability spaces

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