Reference Request - Dirichlet's Proof of the Convergence of Fourier Sums

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Where can I find Dirichlet's proof of the convergence of Fourier Sums? I am not looks for his paper, but a modern explanation in English.

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One of the only modern approaches to the subject of pointwise convergence that I have ever found is
https://www.jstor.org/stable/2321220?origin=JSTOR-pdf&seq=1#page_scan_tab_contents
It does not seem that many people are aware of this paper.