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Results
on Some Neutrix Convolutions of Functions and Distributions
Brian
Fisher and Mustafa Telci
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Abstract.
The neutrix convolution of two locally
summable functions or distributions  and
 is
defined to be the limit of |
the sequence ,
where  and
 is
a certain function with compact support and the sequence
|
 converges
to the identity function on the real line. The neutrix
convolution of the functions 
and  is
evaluated for |
 and
all  .
Further neutrix convolutions are then deduced.
Full text: PDF
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