Bounded Analytic Functions: 236 (Graduate Texts in Mathematics) - Tapa blanda

Garnett, John B.

 
9781441922168: Bounded Analytic Functions: 236 (Graduate Texts in Mathematics)
Tapa blanda
ISBN 10: 1441922164 ISBN 13: 9781441922168
Editorial: Springer, 2010

Sinopsis

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 book covers a wide range of topics in analysis. It is extremely well organized and well written, with elegant, detailed proofs. Each chapter ends with a section called Notes and another called Exercises and further results. The former sections contain brief historical comments and direct the reader to the original sources for the material in the text. The last seven of the ten chapters are devoted in the main to 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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441922164
ISBN 13 
9781441922168
Encuadernación
Tapa blanda
Número de páginas
476
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387336213: Bounded Analytic Functions: 236 (Graduate Texts in Mathematics, 236)

Edición Destacada

ISBN 10:  0387336214 ISBN 13:  9780387336213
Editorial: Springer, 2006
Tapa dura