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A Construction of Euclidean Invariant, Reflection Positive Measures on a Compactification of Distributions

Functional Analysis 2021-06-24 v2 Mathematical Physics math.MP Probability

Abstract

A simple construction is given of a class of Euclidean invariant, reflection positive measures on a compactification of the space of distributions. An unusual feature is that the regularizations used are not reflection positive.

Keywords

Cite

@article{arxiv.2101.01427,
  title  = {A Construction of Euclidean Invariant, Reflection Positive Measures on a Compactification of Distributions},
  author = {Tamer Tlas},
  journal= {arXiv preprint arXiv:2101.01427},
  year   = {2021}
}

Comments

12 pages, typos fixed, several points clarified with no change to the results, one reference added