Proper holomorphic maps of bounded two-dimensional Reinhardt domains. I
- 作者: Kruzhilin N.G.1
 - 
							隶属关系: 
							
- Steklov Mathematical Institute of Russian Academy of Sciences
 
 - 期: 卷 85, 编号 3 (2021)
 - 页面: 52-72
 - 栏目: Articles
 - URL: https://bakhtiniada.ru/1607-0046/article/view/133846
 - DOI: https://doi.org/10.4213/im9066
 - ID: 133846
 
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作者简介
Nikolai Kruzhilin
Steklov Mathematical Institute of Russian Academy of Sciences
														Email: kruzhil@mi-ras.ru
				                					                																			                								Doctor of physico-mathematical sciences				                														
参考
- K. Reinhardt, “Über Abbildungen durch analytische Funktionen zweier Veranderlichen”, Math. Ann., 83:3-4 (1921), 211–255
 - Н. Г. Кружилин, “Голоморфные автоморфизмы гиперболических областей Рейнхарта”, Изв. АН СССР. Сер. матем., 52:1 (1988), 16–40
 - S. Shimizu, “Automorphisms of bounded Reinhardt domains”, Japan J. Math. (N.S.), 15:2 (1989), 385–414
 - P. Thullen, “Zu den Abbildungen durch analytische Funktionen mehrerer komplexer Veränderlichen Die Invarianz des Mittelpunktes von Kreiskörpern”, Math. Ann., 104:1 (1931), 244–259
 - П. А. Солдаткин, “Голоморфная эквивалентность областей Рейнхарта в $mathbb C^2$”, Изв. РАН. Сер. матем., 66:6 (2002), 187–222
 - D. E. Barrett, “Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin”, Comment. Math. Helv., 59:4 (1984), 550–564
 - E. Bedford, J. Dadok, “Proper holomorphic mappings and real reflection groups”, J. Reine Angew. Math., 1985:361 (1985), 1–82
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 - A. Spiro, “Classification of proper holomorphic maps between Reinhardt domains in $mathbb C^2$”, Math. Z., 227:1 (1998), 27–44
 - Н. Г. Кружилин, “Обобщение теоремы Кернера о собственных отображениях”, УМН, 65:6(396) (2010), 187–188
 - S. R. Bell, “The Bergman kernel function and proper holomorphic mappings”, Trans. Amer. Math. Soc., 270:2 (1982), 685–691
 - M. Landucci, “Proper holomorphic mappings between some nonsmooth domains”, Ann. Mat. Pura Appl. (4), 155 (1989), 193–203
 - E. Bedford, S. Bell, “Extension of proper holomorphic mappings past the boundary”, Manuscripta Math., 50 (1985), 1–10
 - E. Bedford, S. Bell, “Boundary behavior of proper holomorphic correspondences”, Math. Ann., 272:4 (1985), 505–518
 - А. В. Лобода, “Всякая голоморфно-однородная трубка в $C^2$ имеет аффинно-однородное основание”, Сиб. матем. журн., 42:6 (2001), 1335–1339
 - J. Dadok, P. Yang, “Automorphisms of tube domains and spherical tube hypersurfaces”, Amer. J. Math., 107:4 (1985), 999–1013
 - M. Newman, Integral matrices, Pure Appl. Math., 45, Academic Press, New York–London, 1972, xvii+224 pp.
 
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