A Note on Positive Distributions in Gaussian Analysis

Details A Note on Positive Distributions in Gaussian Analysis A Note on Positive Distributions in Gaussian Analysis

2002-10-27

arxiv.org/abs/math/0210415v1

Ukrainian Mathematical Journal 47 No. 5 1995

Mathematics

Functional Analysis

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Scientific paper

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.

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