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 Introductory Quantum Optics by Damir Z. Arov, Harry Dym
Cover of the book Statistical Modeling for Biomedical Researchers by Damir Z. Arov, Harry Dym
Cover of the book The Cambridge Companion to Human Rights and Literature by Damir Z. Arov, Harry Dym
Cover of the book Contemporary Aristotelian Metaphysics by Damir Z. Arov, Harry Dym
Cover of the book Guantánamo and Beyond by Damir Z. Arov, Harry Dym
Cover of the book How Western Soldiers Fight by Damir Z. Arov, Harry Dym
Cover of the book Kant on Moral Autonomy by Damir Z. Arov, Harry Dym
Cover of the book Vision, Devotion, and Self-Representation in Late Medieval Art by Damir Z. Arov, Harry Dym
Cover of the book Paul Samuelson on the History of Economic Analysis by Damir Z. Arov, Harry Dym
Cover of the book Placental-Fetal Growth Restriction by Damir Z. Arov, Harry Dym
Cover of the book The Universal Church of the Kingdom of God in South Africa by Damir Z. Arov, Harry Dym
Cover of the book The Early Modern Hispanic World by Damir Z. Arov, Harry Dym
Cover of the book The Maximal Subgroups of the Low-Dimensional Finite Classical Groups by Damir Z. Arov, Harry Dym
Cover of the book Visions of Politics: Volume 1, Regarding Method by Damir Z. Arov, Harry Dym
Cover of the book Politics and Power in the Multinational Corporation 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