A short study of generalized Dirichlet Integrals via tempered distributions
Functional Analysis
2021-10-05 v1
Abstract
In the present article, the author uses Fourier theory of tempered distributions (generalized functions) in deriving a formula for Dirichlet-like integrals. The applied method is remarkably efficient and allows a solution in a few calculational steps. The interest of the present article lies not only in the derivation of an appearently unknown formula but also in the original methodology of its derivation.
Cite
@article{arxiv.2110.00638,
title = {A short study of generalized Dirichlet Integrals via tempered distributions},
author = {Cyril Belardinelli},
journal= {arXiv preprint arXiv:2110.00638},
year = {2021}
}
Comments
7 pages