De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
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.
scientific article; zbMATH DE number 3988293