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Behavior Spaces on Finite Bordered Riemann Surfaces
http://hdl.handle.net/10212/1903
http://hdl.handle.net/10212/19030c494c14-686a-466d-a78b-fda7ac36deb9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
maitani-1980.pdf (838.6 KB)
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| Item type | 論文 / Article(1) | |||||||||
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| 公開日 | 2010-04-21 | |||||||||
| タイトル | ||||||||||
| タイトル | Behavior Spaces on Finite Bordered Riemann Surfaces | |||||||||
| 言語 | en | |||||||||
| 作成者 |
米谷, 文男
× 米谷, 文男
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | finite bordered Riemann surfaces | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Riemann-Roch theorem | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Abel's theorem | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | We introduced, in our previous work, behavior spaces for the purpose of a formulation of the Riemann-Roch theorem and Abel's theorem on open Riemann surfaces. The existence of behavior spaces on arbitrary Riemann surfaces was shown by using Zorn's Lemma. But behavior spaces are not very clear. So as to throw light on it, we shall give concretely some behavior spaces on finite bordered Riemann surfaces. If we use the specific kind of behavior space, our formulation of the theories is regarded as an obedient generalization of classical theories on compact surfaces. We shall give an example and show that meromorphic functions which is stated in our Riemann-Roch theorem are not always trivial on a surface with infinite genus and a large boundary. We shall give meromorphic functions on finite bordered Riemann surfaces whose real and imaginary parts have a certain behavior. This was unexpected on Riemann surfaces with large boundaries. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology, Vol.29 (1980) pp.9-23 | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-04-07T06:42:25Z No. of bitstreams: 1 maitani-1980.pdf: 858695 bytes, checksum: d5339812aaae1ea4a8602615f48fe563 (MD5) | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Made available in DSpace on 2009-04-07T06:42:26Z (GMT). No. of bitstreams: 1 maitani-1980.pdf: 858695 bytes, checksum: d5339812aaae1ea4a8602615f48fe563 (MD5) Previous issue date: 1981-03 | |||||||||
| 言語 | en | |||||||||
| 日付 | ||||||||||
| 日付 | 1981-03 | |||||||||
| 日付タイプ | Issued | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 収録物名 | ||||||||||
| 収録物名 | Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology | |||||||||
| 言語 | en | |||||||||
| 巻 | ||||||||||
| 巻 | 29 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 9 | |||||||||
| 終了ページ | ||||||||||
| 終了ページ | 23 | |||||||||
