Finite Blaschke Products and Their Connections

• Κύριοι συγγραφείς: Garcia, Stephan Ramon (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Mashreghi, Javad (http://id.loc.gov/vocabulary/relators/aut), Ross, William T. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.