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

"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 eithe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arov, Damir Z.
Otros Autores: Dym, Harry, 1934-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2012.
Colección:Encyclopedia of mathematics and its applications ; 145.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Bitangential direct and inverse problems for systems of integral and differential equations /  |c Damir Z. Arov, Harry Dym. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 2012. 
300 |a 1 online resource (xiv, 472 pages) 
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490 1 |a Encyclopedia of mathematics and its applications ;  |v 145 
520 |a "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"--  |c Provided by publisher 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a 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. 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Inverse problems (Differential equations) 
650 0 |a Integral equations. 
650 6 |a Problèmes inverses (Équations différentielles) 
650 6 |a Équations intégrales. 
650 7 |a MATHEMATICS  |x General.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Ecuaciones integrales  |2 embne 
650 7 |a Integral equations  |2 fast 
650 7 |a Inverse problems (Differential equations)  |2 fast 
700 1 |a Dym, Harry,  |d 1934- 
776 0 8 |i Print version:  |a Arov, Damir Z.  |t Bitangential direct and inverse problems for systems of integral and differential equations.  |d Cambridge, UK ; New York : Cambridge University Press, 2012  |z 9781107018877  |w (DLC) 2012000304  |w (OCoLC)775664076 
830 0 |a Encyclopedia of mathematics and its applications ;  |v 145. 
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