Interpolation Theory, Systems Theory and Related Topics: The Harry Dym Anniversary Volume (Operator Theory: Advances and Applications, 134)

This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists. Front Matter....Pages i-xii Looking Back....Pages 1-17 List of Publications of Harry Dym....Pages 19-24 On Joint Work with Harry Dym....Pages 25-30 Methods of Kreĭn Space Operator Theory....Pages 31-66 Notes on Interpolation in the Generalized Schur Class. I. Applications of Realization Theory....Pages 67-97 Stable Dissipative Linear Stationary Dynamical Scattering Systems....Pages 99-136 Concrete Interpolation of Meromorphic Matrix Functions on Riemann Surfaces....Pages 137-156 On Realizations of Rational Matrix Functions of Several Complex Variables....Pages 157-185 The Poincaré-Hardy Inequality on the Complement of a Cantor Set....Pages 187-208 Finite Section Method for Linear Ordinary Differential Equations on the Full Line....Pages 209-224 On the Spectral Radius of Multi-Matrix Functions....Pages 225-241 A Generic Schur Function is an Inner One....Pages 243-286 Abstract Interpolation Scheme for Harmonic Functions....Pages 287-317 Chains of Space-Time Open Systems and DNA....Pages 319-336 A Class of Robustness Problems in Matrix Analysis....Pages 337-383 Dual Discrete Canonical Systems and Dual Orthogonal Polynomials....Pages 385-401 Non-Selfadjoint Sturm-Liouville Operators with Multiple Spectra....Pages 403-414 Features mathematical papers that cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, system theory, and differential equations and mathematical physics. This book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.