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A Note on Positive Distributions in Gaussian Analysis

Yuri G. Kondratiev, Ludwig Streit, Werner Westerkamp

math.FAarXiv:math/0210415

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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