Airault, H.; Malliavin, P. Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\). (English) Zbl 0874.58091 Ann. Math. Blaise Pascal 3, No. 1, 1-11 (1996). The authors construct the heat operator on the Wiener space \(\mathbb{P}(\mathbb{R}^n)\) of continuous maps defined on \([0,1]\) with values in \(\mathbb{R}^n\), by taking the sum of the square of twisted derivatives with respect to an orthonormal basis of the Cameron-Martin space of the Wiener space. Reviewer: S.K.Chatterjea (Calcutta) MSC: 58J65 Diffusion processes and stochastic analysis on manifolds Keywords:heat operator; Wiener space; twisted derivatives; Cameron-Martin space PDF BibTeX XML Cite \textit{H. Airault} and \textit{P. Malliavin}, Ann. Math. Blaise Pascal 3, No. 1, 1--11 (1996; Zbl 0874.58091) Full Text: DOI Numdam EuDML OpenURL References: [1] Airault, H., Projection of the infinitesimal generator of a diffusion., J. of Funct. Anal., Vol.85, Aug., 2, (1989). · Zbl 0683.60055 [2] Airault, H. and Malliavin, P. ., Integration on loop groups II., J. of Funct. Anal., Vol.104, Feb. 15, 1, (1992). · Zbl 0787.22021 [3] Airault, H. and Malliavin, P. ., Integration by parts formulas and dilatation vector fields on elliptic probability spaces., To appearProba Theor. and Rel. Fields. · Zbl 0867.60031 [4] Bismut, J.M. ., Large deviations and the Malliavin calculus., Progress in Math. Vol45. Birkhauser; (1984). · Zbl 0537.35003 [5] Fang, S. and Malliavin, P. ., Stochastic Analysis on the path space of a Riemannian manifold., J. of Funct. Anal. Vol.118 , Nov. 15, 1, (1983). · Zbl 0798.58080 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.