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

ISBN-13: 9781107018877 / Angielski / Twarda / 2012 / 488 str.

Damir Z. Arov

Opis

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

Recenzje

'The book provides a unified setting for understanding and codifying a number of seemingly disparate areas of analysis appearing not only in the authors' earlier work, but also in numerous articles of other authors scattered throughout the literature.' Joseph A. Ball, Mathematical Reviews

Spis treści

1. Introduction; 2. Canonical systems and related differential equations; 3. Matrix valued functions in the Nevanlinna class; 4. Interpolation problems, resolvent matrices and de Branges spaces; 5. Chains that are matrizants and chains of associated pairs; 6. The bitangential direct input scattering problems; 7. Bitangential direct input impedance and spectral problems; 8. Inverse monodromy problems; 9. Bitangential Krein extension problems; 10. Bitangential inverse input scattering problems; 11. Bitangential inverse input impedance and spectral problems; 12. Dirac–Krein systems; Bibliography; Index.