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Polynomials and pseudoconvexity for Riemann domains over ℂⁿ
https://doi.org/10.15099/00016934
https://doi.org/10.15099/000169343aee4cd9-893c-4bdc-a32a-ea4673e38ef6
名前 / ファイル | ライセンス | アクション |
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TMJ_38_01-06_Page101to114.pdf (125.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-05-09 | |||||
タイトル | ||||||
タイトル | Polynomials and pseudoconvexity for Riemann domains over ℂⁿ | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 32D26 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 32F15 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 32T99 | |||||
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 | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15099/00016934 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Sugiyama, Shun
× Sugiyama, Shun |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We prove that a Riemann domain (G, π) over ℂⁿ is pseudoconvex if and only if for any continuous mapping φ : D̅ ×[0, δ] →G ̿ of the form (π ̿ ◦φ)ⱼ(w, t)=pⱼ(w)+aⱼt (j=1,2, . . . , n), where (G ̿, π ̿) is abstract closure of (G, π), D={w∈ℂ ; |w| < ε}, ε > 0, δ > 0, aⱼ ∈ℂ and pⱼ(w) is a polynomial of w of degree at most 2, with φ(D̅ × (0, δ]) ∪ φ(∂D × {0}) ⊂ G, it follows that φ(D̅ × [0, δ]) ⊂ G. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Toyama mathematical journal, vol.38, 2016, Page 101-114 | |||||
書誌情報 |
Toyama mathematical journal 巻 38, p. 101-114, 発行日 2016 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 18806015 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12137369 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Department of Mathematics University of Toyama | |||||
資源タイプ(DSpace) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article |