EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 112--122 (1999)

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On the non-commutative neutrix product of $x_+^\lambda$ and $x_+^-\lambda-r$

Brian Fisher and Fatma Al-Sirehy

Department of Mathematics and Computer Science Leicester University Leicester, LE1 7RH England. and P.O. Box 32477, Jeddah Saudi Arabia.

Abstract: The non-commutative neutrix product of the distributions $x_+^\lambda$ and $x_+^{-\lambda -r} $ is evaluated for $\lambda\ne 0,\pm 1,\pm2.\ldots$

Keywords: distribution, delta-function, neutrix, neutrix limit, neutrix product.

Classification (MSC2000): 46F10

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

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