Matrix and Operator Valued Functions

Chapter 1 The Influence of V.P. Potapov and M.G. Kreĭn on My Scientific Work

Chapter 2 The Development of Some of V.P. Potapov’s Ideas the Geometric Theory of Operators in Spaces with Indefinite Metric

Chapter 3 On the Potapov Theory of Multiplicative Representations

Chapter 4 An Operator Approach to the Potapov Scheme for the Solution of Interpolation Problems

Chapter 5 Description of a Class of Functions which Admit an Approximation by Rational Functions with Preassigned Poles I

Chapter 6 An Analysis and Extension of V.P. Potapov’s Approach to Interpolation Problems with Applications to the Generalized Bi-Tangential Schur-Nevanlinna-Pick Problem and J-Inner-Outer Factorization

Chapter 7 On the Theory of Inverse Problems for the Canonical Differential Equation

Chapter 8 Some Properties of Linear-Fractional Transformations and the Harmonic Mean of Matrix Functions

Chapter 9 Modification of V.P. Potapov’s Scheme in the Indefinite Case