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The convolution of functions and distributions
Authors:Brian Fisher  Kenan Ta?
Institution:a Department of Mathematics, University of Leicester, Leicester, LE1 7RH, England, UK
b Department of Mathematics, Çankaya University, Ankara, Turkey
Abstract:The non-commutative convolution fg of two distributions f and g in D is defined to be the limit of the sequence {(fτn)∗g}, provided the limit exists, where {τn} is a certain sequence of functions in D converging to 1. It is proved that
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Keywords:Distribution  Dirac delta function  Convolution
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