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 Social Interactions in Virtual Worlds by Damir Z. Arov, Harry Dym
Cover of the book The Social Life of Things by Damir Z. Arov, Harry Dym
Cover of the book Security Relations between China and the European Union by Damir Z. Arov, Harry Dym
Cover of the book Programming in Ada 2012 by Damir Z. Arov, Harry Dym
Cover of the book Waves and Mean Flows by Damir Z. Arov, Harry Dym
Cover of the book The Philosophy of Argument and Audience Reception by Damir Z. Arov, Harry Dym
Cover of the book The Bank of England by Damir Z. Arov, Harry Dym
Cover of the book Reinventing the Propeller by Damir Z. Arov, Harry Dym
Cover of the book Constitutionalism and the Rule of Law by Damir Z. Arov, Harry Dym
Cover of the book Electricity and Magnetism for Mathematicians by Damir Z. Arov, Harry Dym
Cover of the book The Power of Scientific Knowledge by Damir Z. Arov, Harry Dym
Cover of the book Experimental Methods by Damir Z. Arov, Harry Dym
Cover of the book Kant: Religion within the Boundaries of Mere Reason by Damir Z. Arov, Harry Dym
Cover of the book Empire and Power in the Reign of Süleyman by Damir Z. Arov, Harry Dym
Cover of the book Promoting Compliance in an Evolving Climate Regime 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