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Generalized functions in a Non-Archimedean field

Benci, Vieri
arXiv (All) · Papers
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analysis-of-pdes
Ultrafunctions are generalized functions defined on a non-Archimedean field extending R. They provide a framework for treating problems that fall outside the classical theory of distributions. In this paper we introduce an improved notion of ultrafunctions which refines the previous constructions. T
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