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[ 洋図書 ] Bitangential direct and inverse problems for systems of integral and differential equations / ( Encyclopedia of mathematics and its applications ; 145 )

Damir Z. Arov, Harry Dym. -- Cambridge University Press, -- 2012. --

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ISBN 1107018870 (hardback)
ISBN13桁 9781107018877 (hardback)
テキストの言語 英語                  
分類：NDC10版 410.8
個人著者標目 Arov, Damir Z.
本タイトル Bitangential direct and inverse problems for systems of integral and differential equations /
著者名 Damir Z. Arov, Harry Dym.
出版地・頒布地 Cambridge ;
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2012.
数量 xiv, 472 p. ;
大きさ 24 cm.
書誌注記 Includes bibliographical references (p. [450]-464) and indexes.
内容注記 Introduction -- Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems.
要約、抄録、注釈等 "This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"--
著者標目 Dym, Harry, 1934-
統一タイトル(シリーズ副出標目) Encyclopedia of mathematics and its applications ;
シリーズの巻次 v. 145.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 145
一般件名 Inverse problems (Differential equations)
Integral equations.
資料情報1 『Bitangential direct and inverse problems for systems of integral and differential equations /』（Encyclopedia of mathematics and its applications ; 145）　Damir Z. Arov, Harry Dym.　Cambridge University Press,　2012. （所蔵館：中央　 請求記号：F/410.8/E56/E1-145　 資料コード：7102196487）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352003672

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