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Finite Blaschke Products and Their Connections

BuchGebunden
328 Seiten
Englisch
Springererschienen am05.06.20181st ed. 2018
This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR106,99
BuchGebunden
EUR106,99
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThis monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields.
Details
ISBN/GTIN978-3-319-78246-1
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2018
Erscheinungsdatum05.06.2018
Auflage1st ed. 2018
Seiten328 Seiten
SpracheEnglisch
Gewicht694 g
IllustrationenXIX, 328 p. 49 illus., 10 illus. in color.
Artikel-Nr.44484625

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
"The book under consideration is concerned with finite Blaschke products. ... The book is designed for students and researchers familiar with basic real and complex analysis and linear algebra. The proofs are detailed and dozens illustrations are provided. At the end of each chapter, the authors include exercises so that the reader can gain greater technical fluency with the material and appreciate the beauty of the subject." (Leonid Golinskii, zbMATH 1398.30002, 2018)mehr

Autor

Stephan Ramon Garcia is a professor of mathematics at Pomona College

Javad Mashreghi is a professor in the Department of Mathematics and Statistics at Laval University, Alexandre-Vachon.

William T. Ross is a professor of mathematics and the Chair of the Department of Math and Computer Sciences at the University of Richmond.