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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis

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Spaces of Holomorphic Functions in the Unit Ball (Hardcover, 2005 ed.) Loot Price: R2,456

Discovery Miles 24 560

Repayment Terms: R230 pm x 12*

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Spaces of Holomorphic Functions in the Unit Ball (Hardcover, 2005 ed.): Kehe Zhu

Spaces of Holomorphic Functions in the Unit Ball (Hardcover, 2005 ed.)

Kehe Zhu

Series: Graduate Texts in Mathematics, 226

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Loot Price R2,456 Discovery Miles 24 560 | Repayment Terms: R230 pm x 12*

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There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball of Cn. Spaces discussed include the Bergman spaces, the Hardy spaces, the Bloch space, BMOA, the Dirichlet space, the Besov spaces, and the Lipschitz spaces. Most proofs in the book are new and simpler than the existing ones in the literature. The central idea in almost all these proofs is based on integral representations of holomorphic functions and elementary properties of the Bergman kernel, the Bergman metric, and the automorphism group.

The unit ball was chosen as the setting since most results can be achieved there using straightforward formulas without much fuss. The book can be read comfortably by anyone familiar with single variable complex analysis; no prerequisite on several complex variables is required. The author has included exercises at the end of each chapter that vary greatly in the level of difficulty.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 226
Release date:	February 2005
First published:	2005
Authors:	Kehe Zhu
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	274
Edition:	2005 ed.
ISBN-13:	978-0-387-22036-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Promotions
LSN:	0-387-22036-4
Barcode:	9780387220369