Results
on Some Neutrix Convolutions of Functions and Distributions
Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 2
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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.