Stanojevic의 푸리에 급수의 L1-수렴성 연구의 소 계보 고찰
A Brief Study on Stanojevic’s Works on the L1-Convergence
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초록
본 논문은 저자의 선행 연구 결과에 따른 부가적인 연구로 ‘푸리에 급수의 L 1-수렴성’ 에 관한 많은업적을 남긴 세계적인 수학자인 스타노제빅 (Caslav V. Stanojevic)¹⁾을 중심으로 20세기 후반부터 21세기 초까지 (1973–2002) 30년간 그의 연구결과를 순차적으로 고찰하여 푸리에 급수의 L 1-수렴성연구자들의 2012년까지 소 계보를 조사한다.
Abstract
This study concerns Stanojevic’s academic works on the L1-convergence of Fourier series from 1973 to 2002. We review his academic works. Also, we briefly investigate a simple academic lineage for the researchers of L1-convergence of Fourier series until 2012. First, we introduce the classical lineage of the researchers for L1-convergence Fourier series in section 2. Second, we investigate the backgrounds of Stanojevic’s study at Belgrade University and University of Missouri-Rolla respectively. Finally, we compare and consider the L1-convergence theorems of Stanojevic’s results from 1973 to 2002 successively. In addition, we compose a the simple lineage of L1-convergence of Fourier series from 1973 to 2012.
참고문헌 (27)
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- 이정오, "푸리에 급수의 부분합, 푸리에 계수를 이용한 L-¹수렴성 결과들의 재해석과 그 소계보", 한국수학사학회지, 23(1), pp.53~66 (2010), 한국수학사학회
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