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Changing the variable in convolution of distributions
Authors:Gopi Ahuja
Affiliation:(1) Department of Post Graduate Studies in Mathematics, Feroze Gandhi College, 229 001 Rae Bareli, India;(2) 127/1, Chander Nagar, Alambagh, 226 005 Lucknow, India
Abstract:
In this paper the author has extended the concept of changing the variables in distributions to the convolution of distributions. For an infinitely differentiable functionh(x), he has first defined the convolution of two distributions f(h(x)) and g(h(x)) and then proved some of its properties. Finally, he has applied his results to the fractional integral and fractional differential operators
Keywords:Distributions  changing the variables  convolution  infinitely differentiable functions  fractional  integral  operators
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