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Another Direct Proof of Oka's Theorem (Oka IX)
http://hdl.handle.net/2261/59032
http://hdl.handle.net/2261/59032a5184129-0bf1-4429-8570-9c0a9b5b1e5c
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Another Direct Proof of Oka's Theorem (Oka IX) | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Noguchi, Junjiro
× Noguchi, Junjiro |
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著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In 1953 K. Oka IX solved in first and in a final form Levi’s problem (Hartogs’ inverse problem) for domains or Riemann domains over Cn of arbitrary dimension. Later on a number of the proofs were given; cf. e.g., Docquier-Grauert’s paper in 1960, R. Narasimhan’s paper in 1961/62, Gunning-Rossi’s book, and H¨ormander’s book (in which the holomorphic separability is pre-assumed in the definition of Riemann domains and thus the assumption is stronger than the one in the present paper). Here we will give another direct elementary proof of Oka’s Theorem, relying only on Grauert’s finiteness theorem by the induction on the dimension and the jets over Riemann domains; here we do not use even Behnke-Stein’s theorem on the Steiness of an open Riemann surface. Hopefully, the proof is the easiest. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 4, p. 661-675, 発行日 2013-03-15 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
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収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
32E40(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
32T05(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2012-05-23 |