Fields Institute Communications

The Corona Problem

Connections Between Operator Theory, Function Theory, and Geometry

Editors: Douglas, R.G., Krantz, S.G., Sawyer, E.T., Treil, S., Wick, B.D. (Eds.)

  • 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
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eBook $79.99
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  • ISBN 978-1-4939-1255-1
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Hardcover $109.00
price for USA
  • ISBN 978-1-4939-1254-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
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  • ISBN 978-1-4939-5601-2
  • Free shipping for individuals worldwide
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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.

Table of contents (11 chapters)

  • A History of the Corona Problem

    Douglas, Ronald G. (et al.)

    Pages 1-29

  • Corona Problem for H ∞ on Riemann Surfaces

    Brudnyi, Alexander

    Pages 31-45

  • Connections of the Corona Problem with Operator Theory and Complex Geometry

    Douglas, Ronald G.

    Pages 47-68

  • On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball

    Eschmeier, Jörg

    Pages 69-83

  • A Subalgebra of the Hardy Algebra Relevant in Control Theory and Its Algebraic-Analytic Properties

    Frentz, Marie (et al.)

    Pages 85-106

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4939-1255-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-1254-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-5601-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Volume
72
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-1255-1
DOI
10.1007/978-1-4939-1255-1
Hardcover ISBN
978-1-4939-1254-4
Softcover ISBN
978-1-4939-5601-2
Series ISSN
1069-5265
Edition Number
1
Number of Pages
VIII, 231
Number of Illustrations and Tables
2 b/w illustrations, 3 illustrations in colour
Topics