<図書>
Meromorphic functions and linear algebra
責任表示 | Olavi Nevanlinna |
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シリーズ | Fields Institute monographs ; 18 |
データ種別 | 図書 |
出版情報 | Providence : American Mathematical Society , c2003 |
本文言語 | 英語 |
大きさ | x, 136 p. : ill. ; 27 cm |
概要 | This monograph proposes that viewing the resolvent of a matrix as a meromorphic function rather than just analytic outside the eigenvalues provides new insight, and develops a new non-linear tool for ...inear algebra--the total logarithmic size of a matrix--which allows the author to generalization his uncle's first main theorem from the scalar valued case for matrix valued functions. The author then proves the robustness of the growth of the resolvent as a meromorphic function under low rank perturbations, and studies the growth of a meromorphic function by approximating rational functions. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
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 | NEVA/15/1 | 2003 |
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023212003002602 |
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書誌詳細
一般注記 | Includes bibliographical references (p. 135-136) "This monograph is based on lectures ... fall of 1995 I gave ... at the Helsinki University of Technology and in October 2001 at the Field Institute in Tronto." - pref. |
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著者標目 | *Nevanlinna, Olavi, 1948- |
書誌ID | 1001389903 |
ISBN | 0821832476 |
NCID | BA61508680 |
巻冊次 | ISBN:0821832476 |
登録日 | 2009.11.02 |
更新日 | 2009.11.02 |