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＜E-Book＞
Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations / Damir Z. Arov, Harry Dym
(Encyclopedia of Mathematics and its Applications ; 145)

Publisher	Cambridge : Cambridge University Press
Year	2012
Size	1 online resource (488 pages) : digital, PDF file(s)
Authors	*Arov, Damir Z. author Dym, Harry author
Subjects	LCSH:Inverse problems (Differential equations) LCSH:Integral equations
Notes	Title from publisher's bibliographic system (viewed on 11 Nov 2016) 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139093514

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