International Journal of Functional Analysis, Operator Theory and Applications
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Abstract: Let F be a
distribution and f be a locally
summable function. The neutrix composition of F
and f, is defined as the neutrix limit of the sequence where and is a
certain sequence of infinitely differentiable functions converging to the Dirac
delta-function It is
proved that the neutrix composition of the distributions and exists and
is equal to for and
.
Keywords and phrases: distribution, delta-function, neutrix composition of distributions, neutrix, neutrix limit.
