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A Note on Positive Distributions in Gaussian Analysis

泛函分析 2007-05-23 v1 数学物理 math.MP

摘要

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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引用

@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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