This volume is dedicated to the memory of Potapov, who made important contributions in the areas of operator theory, complex analysis and their points of juncture. The book commences with biographical material, and then presents a collection of papers on different aspects of operator theory and complex analysis covering the achievements of the Odessa-Kharkov school, of which Potapov was a member. The papers deal with interrelated problems and methods. The main topics are the multiplicative structure of contractive matrix and operator functions, operators in spaces with indefinite scalar...

A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.

Theorems of factorising matrix functions and the operator identity method play an essential role in this book in constructing the spectral theory (direct and inverse problems) of canonical differential systems. Includes many varied applications of the general theory.