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.
@article{BMMS_2003_26_2_a6,
author = {Brian Fisher and Mustafa Telci},
title = {Results
on {Some} {Neutrix} {Convolutions} of {Functions} and {Distributions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2003},
volume = {26},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2003_26_2_a6/}
}
Brian Fisher; Mustafa Telci. Results
on Some Neutrix Convolutions of Functions and Distributions. Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2003_26_2_a6/