• Title/Summary/Keyword: 푸리에 급수의 부분합

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Partial Sum of Fourier series, the Reinterpret of $L^1$-Convergence Results using Fourier coefficients and theirs Minor Lineage (푸리에 급수의 부분합, 푸리에 계수를 이용한 $L^1$-수렴성 결과들의 재해석과 그 소계보)

  • Lee, Jung-Oh
    • Journal for History of Mathematics
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    • v.23 no.1
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    • pp.53-66
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    • 2010
  • 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.