<図書>
Potential theory and dynamics on the Berkovich projective line
責任表示 | Matthew Baker, Robert Rumely |
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シリーズ | Mathematical surveys and monographs ; v. 159 |
データ種別 | 図書 |
出版情報 | Providence, R.I. : American Mathematical Society , 2010 |
本文言語 | 英語 |
大きさ | xxxiii, 428 p. ; 27 cm |
概要 | This mathematics monograph is presented with a number of goals in mind. The authors develop the foundations of potential theory on the Berkovich projective line, including the definition of a measure-...alued Laplacian operator, capacity theory, and a theory of harmonic and subharmonic functions. They also present applications of potential theory on the Berkovcih projective line, especially to the dynamics of rational maps defined over an arbitrary complete and algebraically closed non-Archimedean field K. Finally, they seek to use the case of the Berkovich projective line as a means of introduction to Berkovich's theory of analytic spaces. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6947662 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | BAKE/75/1 | 2010 |
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033212010000243 |
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書誌詳細
一般注記 | Includes bibliographical references (p. 417-421) and index |
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著者標目 | *Baker, Matthew Rumely, Robert S. |
件 名 | LCSH:Potential theory (Mathematics) LCSH:Topological spaces LCSH:Topological dynamics |
分 類 | LCC:QA404.7 DC22:515/.96 |
書誌ID | 1001419811 |
ISBN | 9780821849248 |
NCID | BB01547218 |
巻冊次 | ISBN:9780821849248 |
登録日 | 2010.04.30 |
更新日 | 2017.02.18 |