Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics
Cover of the book Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations by Damir Z. Arov, Harry Dym, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Damir Z. Arov, Harry Dym ISBN: 9781107264182
Publisher: Cambridge University Press Publication: September 13, 2012
Imprint: Cambridge University Press Language: English
Author: Damir Z. Arov, Harry Dym
ISBN: 9781107264182
Publisher: Cambridge University Press
Publication: September 13, 2012
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Radio and the Gendered Soundscape by Damir Z. Arov, Harry Dym
Cover of the book Prosecutors and Democracy by Damir Z. Arov, Harry Dym
Cover of the book Natural Hazards by Damir Z. Arov, Harry Dym
Cover of the book The Cambridge Companion to Thomas Reid by Damir Z. Arov, Harry Dym
Cover of the book The Cambridge Companion to Pushkin by Damir Z. Arov, Harry Dym
Cover of the book North American Freshwater Mussels by Damir Z. Arov, Harry Dym
Cover of the book The English Language by Damir Z. Arov, Harry Dym
Cover of the book Innovating Organization and Management by Damir Z. Arov, Harry Dym
Cover of the book The Black–Scholes Model by Damir Z. Arov, Harry Dym
Cover of the book Japan's Castles by Damir Z. Arov, Harry Dym
Cover of the book America's Dirty Wars by Damir Z. Arov, Harry Dym
Cover of the book Australia in the Global Economy by Damir Z. Arov, Harry Dym
Cover of the book An Introduction to EU Competition Law by Damir Z. Arov, Harry Dym
Cover of the book The Environment and International Relations by Damir Z. Arov, Harry Dym
Cover of the book The Making of Polities by Damir Z. Arov, Harry Dym
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy