A Note on Positive Distributions in Gaussian Analysis
classification
🧮 math.FA
math-phmath.MP
keywords
positiveanalysisdistributiondistributionsgaussianconditiondescribeequivalently
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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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