Interpolation Theory, Systems Theory and Related Topics The Harry Dym Anniversary Volume

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.

Looking Back.- List of Publications of Harry Dym.- On Joint Work with Harry Dym.- Methods of Krein Space Operator Theory.- Notes on Interpolation in the Generalized Schur Class.I. Applications of Realization Theory.- Stable Dissipative Linear Stationary Dynamical Scattering Systems.- Concrete Interpolation of Meromorphic Matrix Functions on Riemann Surfaces.- On Realizations of Rational Matrix Functions of Several Complex Variables.- The Poincaré—Hardy Inequality on the Complement of a Cantor Set.- Finite Section Method for Linear Ordinary Differential Equations on the Full Line.- On the Spectral Radius of Multi-Matrix Functions.- A Generic Schur Function is an Inner One.- Abstract Interpolation Scheme for Harmonic Functions.- Chains of Space-Time Open Systems and DNA.- A Class of Robustness Problems in Matrix Analysis.- Dual Discrete Canonical Systems and Dual Orthogonal Polynomials.- Non-Selfadjoint Sturm-Liouville Operators with Multiple Spectra.