Interpolation, Schur Functions and Moment Problems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alpay, Daniel (Editor), Gohberg, Israel (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 165
• Subjects: Mathematics.; Functional analysis.; Operator theory.; System theory.; Operator Theory.; Systems Theory, Control.; Functional Analysis.

Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coeff...

Table of Contents:

• 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.