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Axiomatic Theory of Distributions

General Mathematics 2021-11-09 v1

Abstract

In this monograph, very simple axiomatic definitions to the L. Schwartz' concepts of distribution and derivative of a distribution are formulated. Beyond this, a kind of generalization of that concepts is propose and corresponding axiomatic definitions are presented.

Keywords

Cite

@article{arxiv.2111.04202,
  title  = {Axiomatic Theory of Distributions},
  author = {Newton C. A. da Costa and J. A. Baêta Segundo},
  journal= {arXiv preprint arXiv:2111.04202},
  year   = {2021}
}

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341 pages