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^Anosov, D. V.; Bolibruch, A. A. The Riemann-Hilbert Problem. Aspects of Mathematics 22. Wiesbaden: Vieweg+Teubner Verlag http://link.springer.com/10.1007/978-3-322-92909-9. 1994. ISBN 9783322929112. doi:10.1007/978-3-322-92909-9.缺少或|title=为空 (帮助)
^Bolibrukh, A A. The Riemann-Hilbert problem. Russian Mathematical Surveys. 1990-04-30, 45 (2): 1–58. ISSN 0036-0279. doi:10.1070/RM1990v045n02ABEH002350.
^Bandemer, H. J. Plemelj, Problems in the Sense of Riemann and Klein (Interscience Tracts in Pure and Applied Mathematics, Nr. 16). 173 S. m. 15 Fig. New York/London/Sydney 1964. John Wiley & Sons Inc. Preis geb. 60 s. net. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. 1965, 45 (1): 67–67. ISSN 0044-2267. doi:10.1002/zamm.19650450117.
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十月 30, 2023
希爾伯特第二十一問題, 是希爾伯特的23個問題之一, 給定p, displaystyle, ldots, mathbb, mathbb, omega, mathbb, ldots, 及一個線性表示ρ, displaystyle, omega, rightarrow, mathbb, 給定x, displaystyle, omega, 是否存在一組Ω, displaystyle, omega, 上的fuchs方程, 使得其單值群由ρ, displaystyle, 給出, 現況, 编辑此問題的答案決定於其表述, 如果我. 希爾伯特第二十一問題是希爾伯特的23個問題之一 給定P 1 P n P 1 C W C P 1 P n displaystyle P 1 ldots P n in mathbb P 1 mathbb C Omega mathbb C P 1 ldots P n 及一個線性表示r p 1 W x 0 G L m C displaystyle rho pi 1 Omega x 0 rightarrow GL m mathbb C 給定x 0 W displaystyle x 0 in Omega 是否存在一組W displaystyle Omega 上的Fuchs方程 使得其單值群由r displaystyle rho 給出 現況 编辑此問題的答案決定於其表述 如果我們容許明顯的奇異點 即 其單值群是平凡的 並在複流形上的向量叢及其聯絡的意義下理解Fuchs方程 則答案是肯定的 否則存在反例 這是L Plemelj G Birkhoff I Lappo Danilevskij P Deligne與A Bolibrukh等數學家的工作 1 2 3 4 5 此問題有時亦稱為黎曼 希爾伯特問題 數學家柏原正樹與Zoghman Mebkhout已藉助D 模的抽象語言將此結果推廣到高維情形 稱作黎曼 希爾伯特對應 文獻 编辑A Beauville Equations differentielles a points singuliers reguliers d apres Bolybrukh Sem Bourbaki 1992 3 1993 pp 103 120 A Borel Algebraic D modules ISBN 0 12 117740 8 P Deligne Equations differentials a points singuliers reguliers Springer Lecture notes in mathematics 163 1970 M Kashiwara Faiseaux constructibles et systems holonomes d equations aux derivees partielles lineaires a points singuliers reguliers Se Goulaouic Schwartz 1979 80 Exp 19 Z Mebkhout Sur le probleme de Hilbert Riemann Lecture notes in physics 129 1980 99 110 外部連結 编辑M Hazewinkel Hilbert problems Hazewinkel Michiel 编 数学百科全书 Springer 2001 ISBN 978 1 55608 010 4 Anosov D V Bolibruch A A The Riemann Hilbert Problem Aspects of Mathematics 22 Wiesbaden Vieweg Teubner Verlag http link springer com 10 1007 978 3 322 92909 9 1994 ISBN 9783322929112 doi 10 1007 978 3 322 92909 9 缺少或 title 为空 帮助 Bolibrukh A A The Riemann Hilbert problem Russian Mathematical Surveys 1990 04 30 45 2 1 58 ISSN 0036 0279 doi 10 1070 RM1990v045n02ABEH002350 Bandemer H J Plemelj Problems in the Sense of Riemann and Klein Interscience Tracts in Pure and Applied Mathematics Nr 16 173 S m 15 Fig New York London Sydney 1964 John Wiley amp Sons Inc Preis geb 60 s net ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 1965 45 1 67 67 ISSN 0044 2267 doi 10 1002 zamm 19650450117 Bolibrukh A A On sufficient conditions for the positive solvability of the Riemann Hilbert problem Mathematical Notes 1992 2 51 2 110 117 ISSN 0001 4346 doi 10 1007 BF02102113 英语 请检查 date 中的日期值 帮助 Kostov Vladimir Petrov On the Deligne Simpson problem Comptes Rendus de l Academie des Sciences Series I Mathematics 1999 10 329 8 657 662 ISSN 0764 4442 doi 10 1016 s0764 4442 00 88212 9 取自 https zh wikipedia org w index php title 希爾伯特第二十一問題 amp oldid 54571718, 维基百科,wiki,书籍,书籍,图书馆,