Graduate Texts in Mathematics

Bounded Analytic Functions

Authors: Garnett, John

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  • ISBN 978-0-387-49763-1
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Hardcover $69.95
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  • ISBN 978-0-387-33621-3
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Softcover $69.95
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  • ISBN 978-1-4419-2216-8
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About this Textbook

The book, which covers a wide range of beautiful topics in analysis, is extremely well organized and well written, with elegant, detailed proofs. The book has educated a whole generation of mathematicians with backgrounds in complex analysis and function algebras. It has had a great impact on the early careers of many leading analysts and has been widely adopted as a textbook for graduate courses and learning seminars in both the US and abroad.

- From the Citation for the 2003 Leroy P. Steele Prize for Exposition

The author has not attempted to produce a compendium. Rather, he has selected a range of topics in a many-faceted theory and, within that range, penetrated to considerable depth...the author has succeeded in bringing out the beauty of a theory which, despite its relatively advanced age---now approaching 80 years---continues to surprise and to delight its practitioners. The author has left his mark on the subject.

- Donald Sarason, Mathematical Reviews

Garnett's Bounded Analytic Functions is to function theory as Zygmund's Trigonometric Series is to Fourier analysis. Bounded Analytic Functions is widely regarded as a classic textbook used around the world to educate today's practioners in the field, and is the primary source for the experts. It is beautifully written, but intentionally cannot be read as a novel. Rather it gives just the right level of detail so that the motivated student develops the requisite skills of the trade in the process of discovering the beauty of the combination of real, complex and functional analysis.

- Donald E. Marshall, University of Washington

Reviews

From the reviews:

"After having been out of print for many years, the long-awaited revised first edition of this wonderful book has finally reappeared, this time with Springer Verlag. In 2003, Garnett was awarded the AMS Steel prize for this book; one of the highest distinctions for mathematical exposition. … To sum up, Garnett’s book is as useful now as it was in 1981 and is highly recommended to everyone interested in function theory." (Raymond Mortini, Zentralblatt MATH, Vol. 1106 (8), 2007)

"The book contains information about Hardy spaces, conjugate functions, bounded mean oscillation and duality, interpolating sequences, corona construction, Douglas algebras and many other topics. … The book … is a gold mine for researchers and experts." (EMS Newsletter, September, 2008)


Table of contents (1 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-0-387-49763-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.95
price for USA
  • ISBN 978-0-387-33621-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.95
price for USA
  • ISBN 978-1-4419-2216-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Bounded Analytic Functions
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
236
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-49763-1
DOI
10.1007/0-387-49763-3
Hardcover ISBN
978-0-387-33621-3
Softcover ISBN
978-1-4419-2216-8
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XIV, 463
Number of Illustrations and Tables
31 b/w illustrations
Additional Information
Originally published by Academic Press, 1981
Topics