A Simple Proof of the Uniform Convergence of Fourier Series Using Nonstandard Analysis

2013/11/14 by Tristram de Piro, de Piro, Tristram
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Logic (math.LO) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1311.3597

openalex publication_date 2013/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of the uniform convergence of Fourier series, using the methods of nonstandard analysis.

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