Extension of Holomorphic Functions

by Marek Jarnicki, Peter Pflug

Overview

This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.

Product Details

ISBN-13:	9783110627695
Publisher:	De Gruyter
Publication date:	05/05/2020
Series:	De Gruyter Expositions in Mathematics , #34
Sold by:	Barnes & Noble
Format:	eBook
Pages:	586
File size:	141 MB
Note:	This product may take a few minutes to download.
Age Range:	18 Years

About the Author

Marek Jarnicki, Jagiellonian University in Kraków, Poland; Peter Pflug, Carl von Ossietzky University of Oldenburg, Germany.

Editorial Reviews

Jarnicki (mathematics, Jagiellonian U.) and Pflug (mathematics, Carl von Ossietzky U.) investigate domains of holomorphy for special classes of holomorphic functions on special types of domains. Topics include Riemann domains over Cn; holomorphic convexity; plurisubharmonic functions; solution of the Levi problem; liftings of holomorphic mappings; univalent envelopes of holomorphy; -tubular domains; the Ohsawa-Takegoshi extension theorem; the Catlin-Hakim- Sibony theory; and structure of envelopes of holomorphy. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"One sees how rich this book is! Of course, the general theory of Riemann domains over Stein manifolds is not studied. But the reader who has understood this book can easily study the general theory. I think it is really the best reference book for the extension problem of holomorphic functions." Mathematical Reviews

From the Publisher