Bounded Analytic Functions (Graduate Texts in Mathematics)

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9781441922168: Bounded Analytic Functions (Graduate Texts in Mathematics)

This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.

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From the Back Cover :

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

Review :

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)

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John Garnett
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ISBN 10 : 1441922164 ISBN 13 : 9781441922168
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Description du livre Springer-Verlag New York Inc., United States, 2010. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****.This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available. Softcover reprint of hardcover 1st ed. 2007. N° de réf. du libraire AAV9781441922168

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Description du livre Springer-Verlag New York Inc., United States, 2010. Paperback. État : New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available. Softcover reprint of hardcover 1st ed. 2007. N° de réf. du libraire LIE9781441922168

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Description du livre Springer, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9781441922168_lsuk

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Description du livre Springer, 2010. Paperback. État : NEW. 9781441922168 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0295046

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Description du livre Springer-Verlag New York Inc., United States, 2010. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****. This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available. Softcover reprint of hardcover 1st ed. 2007. N° de réf. du libraire AAV9781441922168

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Description du livre Springer, 2009. État : New. This item is printed on demand for shipment within 3 working days. N° de réf. du libraire LP9781441922168

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Description du livre Springer, 2010. Paperback. État : New. This item is printed on demand. N° de réf. du libraire INGM9781441922168

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Description du livre Springer, 2010. Paperback. État : New. Softcover reprint of hardcover 1. This item is printed on demand. N° de réf. du libraire DADAX1441922164

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