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arXiv · 1510.04213

Tempered ultrafunctions

Vieri Benci
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Abstract

Ultrafunctions are a particular class of functions defined on some non- Archimedean field. They provide generalized solutions to functional equa- tions which do not have any solutions among the real functions or the distributions. In this paper we introduce a new class of ultrafunctions, called tempered ultrafunctions, which are somewhat related to the tem- pered distributions and present some interesting peculiarities.

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Vieri Benci. 2015-10-14. Tempered ultrafunctions. https://arxiv.org/abs/1510.04213

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