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| 研究生： |
王雅楨 Wang, Ya-Cheng. |
|---|---|
| 論文名稱： |
多維複空間中緊緻集合多項式凸性的研究: 凱琳引理的一些應用 On polynomial convexity of compact sets in C^n: Some applications of Kallin's lemma |
| 指導教授： |
程守慶
Chen, So-Chin. |
| 口試委員: |
李大中
Lee, Tai-Chung 康素珍 Kan, Su-Jen |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2017 |
| 畢業學年度： | 105 |
| 語文別： | 英文 |
| 論文頁數： | 17 |
| 中文關鍵詞： | 多項式凸性 、多複變 、複分析 、均勻逼近 |
| 相關次數： | 點閱：2 下載：0 |
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應用凱琳引理，討論多複變空間中緊緻集合的多項式凸性。如n維度複數空間中有限多個球、2維度複數空間中3個分離多圓盤、2維度複數空間中四面體之稜及n維度複數空間中的樹。
We discuss the polynomial convexity of compact sets in C^n by applying Kallin’s separation lemma. For example, finite number of balls in C^n, 3 disjoint polydiscs in C^2, edges of tetrahedron in C^2 and trees.
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