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<図書>
Localization and perturbation of zeros of entire functions

責任表示 Michael Gilʹ
シリーズ Lecture notes in pure and applied mathematics ; 258
データ種別 図書
出版情報 Boca Raton, FL : Chapman & Hall/CRC , c2010
本文言語 英語
大きさ xvi, 300 p. ; 24 cm
概要 The distributions of zeros of entire functions is one of the most important problems in the theory of entire functions, and has been studies widely, says Gil' (mathematics, Ben Gurion U. of the Negev)... but most studies are concerned primarily--often solely--with the asymptotic distribution, whereas the bounds for zeros are also very important, especially in such areas as numerical mathematics and system theory. Here he devotes himself to the bounds for the zeros of entire functions and variations of zeros under perturbations. His findings suggest a new approach to investigating entire functions based on the recent estimates for the resolvents of compact operators. Among his topics are finite matrices, some basic results of the theory of analytic functions, polynomials, functions of order less than two, exponential type functions, and entire matrix-valued functions. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報



理系図3F 数理独自 GIL,/10/4 2010
023212009006622

書誌詳細

一般注記 "A Chapman & Hall book."
Includes bibliographical references (p. 287-295) and index
著者標目 Gilʹ, M. I. (Mikhail Iosifovich)
件 名 LCSH:Functions, Entire
LCSH:Localization theory
LCSH:Perturbation (Mathematics)
分 類 LCC:QA353.E5
DC22:515/.98
書誌ID 1001410597
ISBN 9781439800324
NCID BB0058791X
巻冊次 ISBN:9781439800324
登録日 2010.01.14
更新日 2010.01.14

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