Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.

Contenu
Differential-difference Equations in Entire Functions.- Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator.- Bi-Isometries and Commutant Lifting.- The One-sided Ergodic Hilbert Transform of Normal Contractions.- Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations.- Pick Matrices for Schur Multipliers.- The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems.- Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms.- The Schur Algorithm in Terms of System Realizations.- On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences.- A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure.- Integral Equations in the Theory of Levy Processes.- ?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions.