Editors:
- Contains a comprehensive treatment of the status of the corona problem
- Treats both the history and context of the corona problem
- Features many new results about the corona problem
- Includes supplementary material: sn.pub/extras
Part of the book series: Fields Institute Communications (FIC, volume 72)
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Table of contents (11 chapters)
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Front Matter
About this book
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, and records some of the ideas that were developed within.
The corona problem dates back to 1941. It has exerted a powerful influence over mathematical analysis for nearly 75 years. There is material to help bring people up to speed in the latest ideas of the subject, as well as historical material to provide background. Particularly noteworthy is a history of the corona problem, authored by the five organizers, that provides a unique glimpse at how the problem and its many different solutions have developed.
There has never been a meeting of this kind, and there has never been a volume of this kind. Mathematicians—both veterans and newcomers—will benefit from reading this book. This volume makes a unique contribution to the analysis literature and will be a valuable part of the canon for many years to come.
Editors and Affiliations
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Department of Mathematics, Texas A&M University, College Station, USA
Ronald G. Douglas
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Department of Mathematics, Washington University, St. Louis, USA
Steven G. Krantz
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Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
Eric T. Sawyer
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Department of Mathematics, Brown University, Providence, USA
Sergei Treil
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Department of Mathematics, Georgia Institute of Technology, Atlanta, USA
Brett D. Wick
Bibliographic Information
Book Title: The Corona Problem
Book Subtitle: Connections Between Operator Theory, Function Theory, and Geometry
Editors: Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-1255-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-1254-4Published: 06 August 2014
Softcover ISBN: 978-1-4939-5601-2Published: 17 September 2016
eBook ISBN: 978-1-4939-1255-1Published: 05 August 2014
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: VIII, 231
Number of Illustrations: 2 b/w illustrations, 3 illustrations in colour
Topics: Functions of a Complex Variable, Several Complex Variables and Analytic Spaces, Operator Theory, Functional Analysis