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Keywords:
distribution; delta-function; neutrix; neutrix limit; neutrix product
distribution; delta-function; neutrix; neutrix limit; neutrix product
Summary:
The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved to exist for $s=1,2, \ldots$ and is evaluated for $s=1,2$. The existence of the non-commutative neutrix product of the distributions $x_+^{-r}$ and $x_+ ^{-s}$ is then deduced for $r,s= 1,2, \ldots$ and evaluated for $r=s=1$.
References:
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[9] Kiliçman A., Fisher B.: On the non-commutative neutrix product $(x_+ ^r \ln x_+) \circ x_- ^{-s} $. submitted for publication.
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