Overview
- Presents a large survey on the broad subject of extension in complex analysis and CR geometry
- Endowed with a very extensive bibliography
Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 9)
Part of the book sub series: Theses (Scuola Normale Superiore) (TSNS)
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Keywords
- Cauchy-Riemann geometry
- boundary problem
- cohomology
- extension theorem
- semi-corona
About this book
This book is both a survey of some aspects of extension problems in Complex Analysis and Geometry and a collection of results by the author. After recalling the preliminary and necessary notions of complex analysis, the survey focuses on extension of holomorphic functions (filling both compact and non-compact holes), on the reflection principle, on extension results via cohomology vanishing, and on the boundary problem. The last two subjects include detailed results by the author on non-compact extension: the cohomology of semi q-coronae and the unbounded boundary problem.
Authors and Affiliations
Bibliographic Information
Book Title: Extension problems in complex and CR-geometry
Authors: Alberto Saracco
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 2009
Softcover ISBN: 978-88-7642-338-3Due: 29 December 2008
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 150