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Partial Sum of Fourier series, the Reinterpret of $L^1$-Convergence Results using Fourier coefficients and theirs Minor Lineage  

Lee, Jung-Oh (Department of Mathematics, ChoSun University)
Publication Information
Journal for History of Mathematics / v.23, no.1, 2010 , pp. 53-66 More about this Journal
Abstract
This study concerns with partial sum of Fourier series, Fourier coefficients and the $L^1$-convergence of Fourier series. First, we introduce the $L^1$-convergence results. We consider equivalence relations of the partial sum of Fourier series from the early 20th century until the middle of. Second, we investigate the minor lineage of $L^1$-convergence theorem from W. H. Young to G. A. Fomin. Finally, we compare and reinterpret the $L^1$-convergence theorems.
Keywords
partial sum of Fourier series; $L^1$-convergence of Fourier series; Fourier coefficients;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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