De Rham–Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space

DOI10.1142/S0219025716500107zbMath1342.60084MaRDI QIDQ3186062

Nicolas Privault

Publication date: 8 August 2016

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Malliavin calculusClark-Ocone formulade Rham-Hodge-Kodaira decompositionWeitzenböck identity

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Differential forms in global analysis (58A10)

Related Items

Third cumulant Stein approximation for Poisson stochastic integrals

Cites Work

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