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

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...

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Bibliographic Details
Main Author: Privault, Nicolas
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/10356/84665
http://hdl.handle.net/10220/41915
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Institution: Nanyang Technological University
Language: English
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