Bitangential direct and inverse problems for systems of integral and differential equations [E-Book] / Damir Z. Arov, Harry Dym.
Arov, Damir Z., (author)
Dym, Harry, (author)
Cambridge : Cambridge University Press, 2012
1 online resource (xiv, 472 pages)
Encyclopedia of mathematics and its applications ; volume 145
Full Text
Table of Contents:
  • Introduction
  • Canonical systems and related differential equations
  • Matrix-valued functions in the Nevanlinna class
  • Interpolation problems, resolvent matrices and de Branges spaces
  • Chains that are matrizants and chains of associated pairs
  • The bitangential direct input scattering problems
  • Bitangential direct input impedance and spectral problems
  • Inverse monodromy problems
  • Bitangential Krein extension problems
  • Bitangential inverse input scattering problems
  • Bitangential inverse input impedance and spectral problems
  • Direct and inverse problems for Dirac-Krein systems.