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dc.contributor.authorFisher, Brian-
dc.identifier.citationApplicable Analysis and Discrete Mathematics 2009 Volume 3, Issue 2, Pages: 212-223en
dc.description2000 Mathematics Subject Classification. 46F10en
dc.description.abstractLet F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(x)*δn(x) and {δn(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function δ(x). The composition of the distributions x-s + lnm x+ and xμ + is proved to exist and be equal to μmx-sμ + lnm x+ for μ > 0 and s,m = 1, 2,....en
dc.publisherUniversity of Belgrade and Academic Minden
dc.rightsMade available with explicit permission from the publisher.en
dc.subjectcomposition of distributionsen
dc.subjectneutrix limiten
dc.titleOn the composition of the distributions x-s+ lnmx+ and xμ+en
dc.typeJournal Articleen
dc.description.versionPublisher Versionen
Appears in Collections:Published Articles, Dept. of Mathematics

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