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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Finite Blaschke Products and Their Connections
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Finite Blaschke Products and Their Connections
William T. Ross (Taschenbuch, Englisch)
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Beschreibung
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 that have never received a modern treatment, such as the Bohr radius and Ritt's theorem on… decomposability. Deep connections to hyperbolic geometry are explored, as are the mapping properties, zeros, residues, and critical points of finite Blaschke products. In addition, model spaces, rational functions with real boundary values, spectral mapping properties of the numerical range, and the Darlington synthesis problem from electrical engineering are also covered. Topics are carefully discussed, and numerous examples and illustrations highlight crucial ideas. While thorough explanations allow the reader to appreciate the beauty of the subject, relevant exercises following each chapter improve technical fluency with the material. With much of the material previously scattered throughout mathematical history, this book presents a cohesive, comprehensive and modern exposition accessible to undergraduate students, graduate students, and researchers who have familiarity with complex analysis. 106,99 €
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Technische Daten
Erscheinungsdatum
19.12.2018
Sprache
Englisch
EAN
9783030086558
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
William T. Ross
Seitenanzahl
328
Auflage
Softcover reprint of the original 1st edition 2018
Einbandart
Taschenbuch
Autorenporträt
Stephan Ramon Garcia is a professor of mathematics at Pomona College
Schlagwörter
Blaschke Products, Mobius Transformations, Polynomials, Operator Theory, Hilbert Spaces, Complex Analysis, Functional Analysis, Finite Blaschke products, Gauss-Lucas theorem, Lagrange interpolation, Group Theory, real complex functions, Darlington synthesis problem, finite-dimensional model spaces
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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