한국수학사학회지 (Journal for History of Mathematics)

한국수학사학회 (The Korean Society for History of Mathematics)
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푸리에 일생, 푸리에 후학의 소계보와 $L^1$-수렴성에 관한 테라코브스키의 정리

The Life of Fourier, The minor Lineage of His Younger Scholars and a Theorem of Telyakovskii on $L^1$-Convergence

  • Lee, Jung-Oh (Department of Mathematics, ChoSun University)
  • 발행 : 2009.02.28
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초록

본 논문에서는 푸리에의 생애와 18세기 말 그의 스승과 19세기부터 20세기까지는 그의 제자와 후학들의 소계보를 살펴보고 특히, 비교적 덜 접근된 러시아 수학자들의 푸리에 급수의 $L^1$-수렴성에 대한 연구결과들 중 푸리에 계수 성질을 이용한 푸리에 급수 수렴성에 대해 매우 의미 있는 연구를 이룩한 콜모고로프, 테라코브스키의 연구결과에 관심을 갖고 이들의 연구 결과를 비교하여 조사하였다.

This study concerns with John B. Fourier' s life, his teachers, his younger scholars and the $L^1$-convergence of Fourier series. First, we introduce the correlation between the French Revolution and Fourier who is significant in the history of mathematics. Second, we investigate Fourier' s teachers, students and a minor lineage of his younger scholars from 19th century to 20th century. Finally, we compare the theorem of Telyakovskii with the theorem of kolmogorov on $L^1$-convergence of Fourier series.

키워드

참고문헌

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