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Constructive nonstandard representations of generalized functions
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.
2000 (English)In: INDAGATIONES MATHEMATICAE-NEW SERIES, ISSN 0019-3577, Vol. 11, no 1, 129-138 p.Article in journal (Refereed) Published
Abstract [en]

Using techniques of nonstandard analysis Abraham Robinson showed that it is possible to represent each Schwartz distribution T as an integral T(phi) = integral f phi, where f is some nonstandard smooth function. We show that the theory based on this repre

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2000. Vol. 11, no 1, 129-138 p.
URN: urn:nbn:se:uu:diva-36607OAI: oai:DiVA.org:uu-36607DiVA: diva2:64506
Addresses: Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden.Available from: 2008-10-17 Created: 2008-10-17 Last updated: 2011-01-14

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