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...
Main Author: | |
---|---|
Other Authors: | |
Format: | Journal Article |
Language: | English |
Published: |
2016
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/84665 http://hdl.handle.net/10220/41915 |