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Pick’s Theorem and Convergence of Multiple Fourier Series
The American Mathematical Monthly ( IF 0.5 ) Pub Date : 2021-01-02 , DOI: 10.1080/00029890.2021.1839241
L. Brandolini 1 , L. Colzani 2 , S. Robins 3 , G. Travaglini 2
Affiliation  

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.

中文翻译:

多重傅立叶级数的匹克定理与收敛

摘要 我们在包含匹克定理证明的大型建筑物中添加了另一块砖。尽管我们的证明不是最基本的,但它很简短,揭示了 Pick 定理与多个分段平滑函数的傅立叶级数的逐点收敛之间的联系。
更新日期:2021-01-02
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