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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.
Published by: Edizioni della Normale
Publication Date: 2008-12-29
Format: Paperback
ISBN-13: 9788876423383
DOI:
Dimensions: 240cm x150cm
Pages: 150