Multiplication of Distributions in one dimension: possible approaches and applications to $\delta$-function and its derivatives
Mathematical Physics
2009-04-02 v1 math.MP
Abstract
We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our theory to study a certain number of examples, involving products between Dirac delta functions and its successive derivatives.
Keywords
Cite
@article{arxiv.0904.0192,
title = {Multiplication of Distributions in one dimension: possible approaches and applications to $\delta$-function and its derivatives},
author = {F. Bagarello},
journal= {arXiv preprint arXiv:0904.0192},
year = {2009}
}