Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/84665
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dc.contributor.authorPrivault, Nicolasen
dc.date.accessioned2016-12-21T06:10:51Zen
dc.date.accessioned2019-12-06T15:49:05Z-
dc.date.available2016-12-21T06:10:51Zen
dc.date.available2019-12-06T15:49:05Z-
dc.date.issued2016en
dc.identifier.citationPrivault, N. (2016). De Rham–Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 19(2), 1650010-.en
dc.identifier.issn0219-0257en
dc.identifier.urihttps://hdl.handle.net/10356/84665-
dc.description.abstractWe 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.en
dc.format.extent36 p.en
dc.language.isoenen
dc.relation.ispartofseriesInfinite Dimensional Analysis, Quantum Probability and Related Topicsen
dc.rights© 2016 World Scientific Publishing Company. This is the author created version of a work that has been peer reviewed and accepted for publication by Infinite Dimensional Analysis, Quantum Probability and Related Topics, World Scientific Publishing Company. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1142/S0219025716500107].en
dc.subjectWeitzenböck identityen
dc.subjectDe Rham–Hodge–Kodaira decompositionen
dc.titleDe Rham–Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson spaceen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.identifier.doi10.1142/S0219025716500107en
dc.description.versionAccepted versionen
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