Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621603 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
We obtain the following integral representation:f(z)=∫Eβ′e〈z,w〉⋅(f○D)(w)dμγ(w) for all z∈Ez∈E, a fully nuclear space with basis, where η and γ belong to Eβ′, η/γ∈ℓ1η/γ∈ℓ1, f is a holomorphic function of η-exponential type on E , μγμγ is a Gaussian measure on Eβ′, and D is a densely defined diagonal mapping from Eβ′ into E.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Seán Dineen, Lisa Nilsson,