De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
type: Item
instance of: scholarly article
title: De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
zbMATH Open document ID: 0611.58006
author: Ichiro Shigekawa
published in: Journal of Mathematics of Kyoto University
publication date: 1986-01-01T00:00:00Z
review text: The author discusses differential forms on an abstract Wiener space using the Malliavin calculus, more precisely Sobolev spaces on abstract Wiener spaces. After introducing a suitable de Rham-Hodge-Kodaira Laplacian, he proves a decomposition theorem for n-forms using harmonic forms.
Mathematics Subject Classification ID: 58A99
Mathematics Subject Classification ID: 58J10
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 3988293
zbMATH Keywords: abstract Wiener space
zbMATH Keywords: Malliavin calculus
zbMATH Keywords: de Rham-Hodge-Kodaira- decomposition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250520917
OpenAlex ID: W1490022117
DOI: 10.1215/KJM/1250520917
description: scientific article; zbMATH DE number 3988293