푸리에 일생, 푸리에 후학의 소계보와 L1-수렴성에 관한 테라코브스키의 정리
The Life of Fourier, The minor Lineage of His Younger Scholars and a Theorem of Telyakovskii on L1-Convergence
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본 논문에서는 푸리에의 생애와 18세기 말 그의 스승과 19세기부터 20세기까지는 그의 제자와 후학들의 소계보를 살펴보고 특히, 비교적 덜 접근된 러시아 수학자들의 푸리에 급수의 L1-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.
Abstract
This study concerns with John B. Fourier's life, his teachers, his younger scholars and the L1-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 L1-convergence of Fourier series.
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