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• W2399752221 abstract "We construct differential forms of all orders and a covariant derivative together with its adjoint on the probability space of a standard Poisson process, using derivation operators. In this framewok we derive a de Rham–Hodge–Kodaira decomposition as well as Weitzenböck and Clark–Ocone formulas for random differential forms. As in the Wiener space setting, this construction provides two distinct approaches to the vanishing of harmonic differential forms." @default.
• W2399752221 created "2016-06-24" @default.
• W2399752221 creator A5004078201 @default.
• W2399752221 date "2016-06-01" @default.
• W2399752221 modified "2023-10-18" @default.
• W2399752221 title "De Rham–Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space" @default.
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• W2399752221 doi "https://doi.org/10.1142/s0219025716500107" @default.
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