A Note on Positive Distributions in Gaussian Analysis
Functional Analysis
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We describe positive generalized functionals in Gaussian Analysis. We focus on distribution spaces larger than the space of Hida Distributions. It is shown that a positive distribution is represented by a measure with specific growth of its moments. Equivalently this may be replaced by an integrability condition.
Cite
@article{arxiv.math/0210415,
title = {A Note on Positive Distributions in Gaussian Analysis},
author = {Yuri G. Kondratiev and Ludwig Streit and Werner Westerkamp},
journal= {arXiv preprint arXiv:math/0210415},
year = {2007}
}
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