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Blaschke Products and Their Applications

  • Book
  • © 2013

Overview

  • Aids graduate students as well as researchers to get a thorough understanding of Blaschke products
  • Topics such as computability or applications in differential equations are examined for the first time
  • Presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Fields Institute Communications (FIC, volume 65)

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Table of contents (15 chapters)

Keywords

About this book

​Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.

Editors and Affiliations

  • , Département de mathématiques et de stati, Université Laval, Quebec, Canada

    Javad Mashreghi

  • , Institut Camille Jordan, Université Claude Bernard Lyon 1, Villeurbanne cedex, France

    Emmanuel Fricain

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