A Theorem on the Commutative Neutrix Product of Distributions
DOI:
https://doi.org/10.5644/SJM.01.2.08Keywords:
Distribution, Delta function, neutrix, neutrix limit, commutative neutrix productAbstract
The commutative neutrix products $f_+(x) \cdot \delta ^{(r)}(x)$ and $f_-(x)$ $\cdot \delta ^{(r)}(x) $ are evaluated for $r=0,1,2,\ldots,$ where $f$ is a function which is infinitely differentiable on an open interval containing the origin and $f_+(x) =H(x)f(x)$ and $f_-(x) =H(-x)f(x),$ $H$ denoting Heaviside's function.
2000 Mathematics Subject Classification. 46F10
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References
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