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The noncommutative neutrix product of and

Mongkolsery Lin

Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

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Somsak Orankitjaroen

Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

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, and

Brian Fisher

Department of Mathematics, University of Leicester, Leicester LE1 7RH, UK

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https://doi.org/10.1142/S1793557114500429Cited by:0 (Source: Crossref)

Abstract

In distribution theory, the product of two distributions can only be defined under certain conditions. In this paper, by using Fisher's definition, it is proved that if G_m,s(x) denotes the distribution (ln^m+1x_-)^(s), then the noncommutative neutrix product exists and

for m, s ≥ 1, where

. Related neutrix products are then deduced.

Keywords:

AMSC: 46F10

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