Convergence of multiple Fourier series and Pick's theorem

2019/09/08 by Luca Brandolini, Leonardo Colzani, Brandolini, Luca +5
Mathematics · #11H06 #42B05 #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11H06 #msc:42B05

paper · pdf · doi:10.48550/arxiv.1909.03435

arxiv created 2019/09/08 · openalex publication_date 2019/09/08 · arxiv updated 2019/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We add another brick to the large building comprising proofs of Pick's theorem. Although our proof is not the most elementary, it is short and reveals a connection between Pick's theorem and the pointwise convergence of multiple Fourier series of piecewise smooth functions.

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