Damir Z. Arov is Professor in the Division of Applied Mathematics and Informatics at the South-Ukrainian Pedagogical University, Odessa. Harry Dym is Professor Emeritus in the Department of Mathematics at the Weizmann Institute of Science, Rehovot, Israel.

• 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.

'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