paper

A short study of generalized Dirichlet Integrals via tempered distributions

arXiv:2110.00638

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.

7 pages

A short study of generalized Dirichlet Integrals via tempered distributions · wovepaper