Finite Blaschke Products and Their Connections

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Finite Blaschke Products and Their Connections by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Stephan Ramon Garcia, Javad Mashreghi, William T. Ross ISBN: 9783319782478
Publisher: Springer International Publishing Publication: May 24, 2018
Imprint: Springer Language: English
Author: Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
ISBN: 9783319782478
Publisher: Springer International Publishing
Publication: May 24, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Hypertension and Metabolic Cardiovascular Risk Factors by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Crystallizing Ideas – The Role of Chemistry by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Ambient Intelligence– Software and Applications – 8th International Symposium on Ambient Intelligence (ISAmI 2017) by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Filaments in Bioprocesses by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book New Zealand Lizards by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Computational Inference and Control of Quality in Multimedia Services by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Tourism and Culture in the Age of Innovation by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Trauma and Lived Religion by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Noncolorectal, Nonneuroendocrine Liver Metastases by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Personalized Therapy for Multiple Myeloma by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Exploring the Security Landscape: Non-Traditional Security Challenges by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Immune Hematology by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Modelling Public Transport Passenger Flows in the Era of Intelligent Transport Systems by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Cover of the book Pre-carboniferous Evolution of the San Rafael Block, Argentina by Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy