数学与计算机科学 |
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浙江大学函数论学派1928—1950年的学术贡献 |
薛有才1, 刘炜2, 彭佳1 |
1.浙江科技学院 理学院,浙江 杭州 310023 2.浙江特殊教育职业学院,浙江 杭州 310023 |
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An investigation on contributions from the school of function theory in Zhejiang University from1928 to 1950 |
XUE Youcai1, LIU Wei2, PENG Jia1 |
1.School of Science,Zhejiang University of Science and Technology,Hangzhou 310023,China 2.Zhejiang Vocational College of Special Education,Hangzhou 310023,China |
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Curriculum reform in the Department of Mathematics of the National University of Peking before the Anti-Japanese War[J].The Chinese Journal for the History of Science and Technology,2015,36(3):280-299.DOI:10.3969/j.issn.1673-1441.2015.03.002 10 OSGOOD W F.Functions of Real Variables[M].Beijing:University Press,The National University of Peking,1936. 11 郭金海. 抗战前国立浙江大学数学系的崛起[J].科学文化评论,2017,14(5):17-43.DOI:10.3969/j.issn.1672-6804.2017.05.002 GUO J H. The rise of the Department of Mathematics, National University of Zhejiang before 1937[J]. Science & Culture Review, 2017,14(5):17-43. DOI:10.3969/j.issn.1672-6804.2017.05.002 12 薛有才,董杰. 浙江大学数学学派教学风格探析[J].内蒙古师范大学学报(教育科学版),2017,30(3):1-5. DOI:10.3969/j.issn.1671-0916.2017.03.001 XUE Y C, DONG J. A research on teaching style of the Zhejiang University Mathematical School[J]. Journal of Inner Mongolia Normal University(Education Science Edition),2017,30(3):1-5. 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On the convergence of the conjugate series of a Fourier series[J]. Acad Sinica Science Record,1942,1(1):1-6. 19 CHEN K K. The absolute convergence of theallied series of a Fourier series[J]. Duke Math J,1946,13:133-160. 20 CHEN K K. Criteria for the absolute convergence of a Fourier series at a given point[J]. Amer J Math, 1945,67: 285-299. 21 CHEN K K. On the absolute Cesàro summability of negative order for a Fourier series at a given point[J]. Amer J Math, 1944,66: 299-312. 22 CHEN K K. On the series of orthogonal function[J]. Proc Imp Acad, 1928(4): 36-37. 23 CHEN K K. On the Cesàro-summability of the derived series of Fourier series[J]. Tohoku Math J,1929,30: 62-67. 24 叶彦谦.记王福春先生及其数学工作[J].科学,1947,30(2):51-53. YEH Y C.Mr. Wang Fuchun and his mathematics work[J]. Science, 1947,30(2): 51-53. 25 WANG F T . On the summability of Fourier series by Riesz’s Logarithmic means[J]. Proc Imp Acad, 1933,9(10): 568-569. 26 WANG F T. On Riesz summability of Fourier series (I)[J]. Proc London Math Soc,1942,47: 308-325. 27 WANG F T. On Riesz summability of Fourier series(II)[J]. J London Math Soc,1942,17: 98-107. 28 WANG F T. On the summability of Fourier series by Riesz’s typical means[J]. J London Math Soc,1943,18: 155-160. 29 WANG F T. A convergence criterion for a Fourier series[J]. Duke Math J, 1944,11: 435-439. 30 HARDY G H,ROGOSINSKI W W. Fourier Series[M]. New York:Dover Publications,1976. 31 WANG F T. On strong summability of Fourier series[J]. Bull Amer Math Soc, 1944,50: 412-416. 32 WANG F T. Note on H2 summability of Fourier series[J]. J London Math Soc, 1944,19: 208-209. 33 WANG F T. A note on strong summability of Fourier series[J]. An Acad Brasil Ci, 1944,16: 149-152. 34 WANG F T. Strong summability of Fourier series[J]. Duke Math J, 1945,12: 77-87. 35 WANG F T. Note on the absolute summability of Fourier series[J]. J London Math Soc,1941,16: 174-176. 36 WANG F T. Note on the absolute summability of trigonometrical series[J]. J London Math Soc, 1942,17: 133-136. 37 LOO C T. On the Cesàro summability of lacunary partial sums of Fourier series[J]. Tohoku Math J, 1941,48: 215-220. 38 赵彦达.徐瑞云[C]//20世纪中国知名科学家学术成就概览(数学卷 第一分册).北京: 科学出版社,2011:342-346. ZHAO Y D.XU Ruiyun[C]//A Survey of the Academic Achievements of China's Famous Scientists in the 20th Century Mathematics Volume I). Beijing: Science Press,2011: 342-346. 39 HSU S Y . Über die Fouriersche Entwicklung der singulären funktion bei einer Lebesguesthen Zerlegung[J]. Math Z,1941,47: 330-342. 40 HSU S Y. On the variation of increasing functions whose first on Fourier coefficients are given[J].J London Math Soc, 1944,19: 71-77. 41 彭立中. 程民德[C]// 20世纪中国知名科学家学术成就概览(数学卷 第二分册). 北京: 科学出版社,2011:23-28. PENG L Z. Min-Teh Cheng[C]//A survey of the Academic Achievements of China's Famous Scientists in the 20th Century (Mathematics Volume II). Beijing: Science Press,2011:23-28. 42 CHENG M T. Note on Cesàro summability of Fourier series[J]. Tohoku Math J,1941,48: 282-291. 43 CHENG M T. The absolute convergence of Fourierseries[J]. Duke Math J,1942,9: 803-810. 44 CHENG M T. Cesáro summability of orthogonalseries[J]. Duke Math J,1947,14: 401-404. 45 CHENG M T. Summation of Hardy′s associate series of a Fourier series[J]. Scientific Record,1947,2(1):39-44. 46 CHENG M T. Uniqueness of multiple trigonometric series[J]. Ann of Math,1950,52(2):403-416. |
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