Emin \"Ozca{\accent 22 g}, Brian Fisher
Some results on the product of distributions and the change of variable

Abstract:Let $F$ and $G$ be distributions in $\Cal D'$ and let $f$ be an infinitely differentiable function with $f'(x)>0$, (or $<0$). It is proved that if the neutrix product $F\circ G$ exists and equals $H$, then the neutrix product $F(f)\circ G(f)$ exists and equals $H(f)$.

Keywords: distribution, neutrix product, change of variable
AMS Subject Classification: 46F10

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