Bitangential direct and inverse problems for systems of integral and differential equations [EBook] / Damir Z. Arov, Harry Dym.
Bitangential direct and inverse problems for systems of integral and differential equations [EBook] / Damir Z. Arov, Harry Dym.
This largely selfcontained 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 mo...
Personal Name(s):  Arov, Damir Z., (author) 

Dym, Harry, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2012

Physical Description: 
1 online resource (xiv, 472 pages) 
Note: 
englisch 
ISBN: 
9781139093514 9781107018877 
Series Title: 
Encyclopedia of mathematics and its applications ;
volume 145 
Subject (LOC):  
Full Text 
Table of Contents:
 Introduction
 Canonical systems and related differential equations
 Matrixvalued 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 DiracKrein systems.