A Note on Positive Distributions in Gaussian Analysis

2002/10/27 by Yuri G. Kondratiev, Ludwig Streit, Werner Westerkamp
Mathematics · Physics and Astronomy · #math.FA #math-ph #math.MP #msc:60H40 #msc:46F25

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published as Ukrainian Mathematical Journal 47 No. 5 1995 · LaTeX2e

arxiv created 2002/10/27 · arxiv updated 2009/11/30

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.

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