Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems -- Boundary Nevanlinna--Pick Interpolation Problems for Generalized Schur Functions -- A Truncated Matricial Moment Problem on a Finite Interval -- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions -- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators
Summary
Under "Schur analysis", one encounters problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, and others. This volume presents the analysis of Schur and Caratheodory functions and the solutions of problems for these classes
