This book is dedicated to the memory of an outstanding
mathematician and personality, Vladimir Petrovich Potapov, who made
important contributions to and exerted considerable influence in
the areas of operator theory, complex analysis and their points of
juncture. The book commences with insightful biographical material,
and then presents a collection of papers on different aspects of
operator theory and complex analysis covering those recent
achievements of the Odessa-Kharkov school in which Potapov was very
active. 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
products, inverse problems for systems of differential equations,
interpolation and approximation problems for operator and matrix
functions. The book will appeal to a wide group of mathematicians
and engineers, and much of the material can be used for advanced
courses and seminars.
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