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arXiv · 2110.00638

A short study of generalized Dirichlet Integrals via tempered distributions

Cyril Belardinelli
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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.

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Cyril Belardinelli. 2021-10-01. A short study of generalized Dirichlet Integrals via tempered distributions. https://arxiv.org/abs/2110.00638

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