Topics in Interpolation Theory

Chapter 1 Vladimir Petrovich Potapov as remembered by colleagues, friends and former students

Chapter 2 On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc

Chapter 3 On tangential interpolation in reproducing kernel Hilbert modules and applications

Chapter 5 The indefinite metric in the Schur interpolation problem for analytic functions. IV

Chapter 6 Bitangential interpolation for upper triangular operators

Chapter 7 Bitangential interpolation for triangular operators when the Pick operator is strictly positive

Chapter 8 Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class

Chapter 9 On recovering a multiplicative integral from its modulus

Chapter 10 On Schur functions and Szegő orthogonal polynomials

Chapter 11 Hilbert spaces of entire functions as a J theory subject

Chapter 12 On transformations of Potapov’s fundamental matrix inequality

Chapter 13 An abstract interpolation problem and the extension theory of isometric operators

Chapter 14 On the theory of matrix-valued functions belonging to the Smirnov class

Chapter 15 Integral representation of functions of class K a

Chapter 16 On the theory of entire matrix-functions of exponential type

Chapter 17 Analogs of the Nehari and Sarason theorems for character-automorphic functions and some related questions

Chapter 18 The Blaschke-Potapov factorization theorem and the theory of nonselfadjoint operators

Chapter 19 Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J -inner matrix functions

Chapter 20 On a criterion of positive definiteness

Chapter 21 Matrix boundary value problems with eigenvalue dependent boundary conditions (the linear case)

Chapter 22 Weyl-Titchmarsh functions of the canonical periodical system of differential equations

Chapter 23 On boundary values of functions regular in a disk