Finite Blaschke Products and Their Connections

This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites such as the Carathéodory approximation and the Pick interpolation theorems are featured, as are many topics t...

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Bibliographic Details
Main Author: Garcia, Stephan Ramon (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Subjects:
Functional analysis.
Operator theory.
ISBN:9783319782478
Online Access: Get full text
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Table of Contents:
  • Preface
  • Notations
  • 1. Geometry of the Schur class
  • 2. Elementary hyperbolic geometry
  • 3. Finite Blaschke products: the basics
  • 4. Approximation by finite Blaschke products
  • 5. Zeros and residues
  • 6. Critical points
  • 7. Interpolation
  • 8. The Bohr radius
  • 9. Finite Blaschke products and group theory
  • 10. Finite Blaschke products and operator theory
  • 11. Real complex functions
  • 12. Finite-dimensional model spaces
  • 13. The Darlington synthesis problem
  • A. Some reminders
  • Index.

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