Bitangential direct and inverse problems for systems of integral and differential equations /

Bitangential direct and inverse problems for systems of integral and differential equations /

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Bibliographic Details
Author / Creator:Arov, Damir Z.
Imprint:Cambridge, UK ; New York : Cambridge University Press, 2012.
Description:1 online resource (xiv, 472 pages)
Language:English
Series:Encyclopedia of mathematics and its applications ; 145
Encyclopedia of mathematics and its applications ; 145.
Subject:
Inverse problems (Differential equations)
Integral equations.
Integral equations.
Inverse problems (Differential equations)
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11831113
Hidden Bibliographic Details
Other authors / contributors:Dym, Harry, 1934-
ISBN:9781139549653
1139549650
9781139093514
1139093517
9781107264182
1107264189
6613950777
9786613950772
1283638312
9781283638319
9781139552158
1139552155
1139887572
9781139887571
1139555863
9781139555869
1139554611
9781139554619
9781107018877
1107018870
Notes:Includes bibliographical references and index.
English.
Print version record.
Summary:"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"--
Other form:Print version: Arov, Damir Z. Bitangential direct and inverse problems for systems of integral and differential equations. Cambridge, UK ; New York : Cambridge University Press, 2012 9781107018877
Standard no.:9786613950772

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