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Publications of the Scuola Normale Superiore / Theses (Scuol #9: Extension Problems in Complex and Cr-Geometry

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book provides a survey of some aspects of extension problems in Complex Analysis and Geometry. It also includes detailed results by the author on non-compact extension: the cohomology of semi q-coronae and the unbounded boundary problem.

Table of Contents

1. Introduction.- 2. Classical extension theorems in one and several complex variables.- 3. Extension of CR-functions up to a Levi-flat boundary and of holomorphic maps.- 4. Cohomology vanishing and extension problems for semi q-coronae.- 5. Cohomology of semi 1-coronae and extension of analytic subsets.- 6. The boundary problem.- 7. Non-compact boundaries of complex analytic varieties.- 8. Semi-local extension of maximally complex submanifolds.

Product Details

ISBN:
9788876423383
Author:
Saracco, Alberto
Publisher:
Edizioni Della Normale
Subject:
Functional Analysis
Subject:
Mathematical Analysis
Subject:
Geometry - Differential
Subject:
Mathematics-Differential Geometry
Subject:
Cauchy-Riemann geometry
Subject:
boundary problem
Subject:
cohomology
Subject:
extension theorem
Subject:
semi-corona
Subject:
Functions of a complex variable.
Subject:
Differential geometry
Subject:
Global Analysis and Analysis on Manifolds
Subject:
Operator theory
Copyright:
Edition Description:
Book
Series:
Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore)
Series Volume:
9
Publication Date:
20090213
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
150
Dimensions:
240 x 150 mm

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Publications of the Scuola Normale Superiore / Theses (Scuol #9: Extension Problems in Complex and Cr-Geometry New Trade Paper
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Product details 150 pages Edizioni Della Normale - English 9788876423383 Reviews:
"Synopsis" by , This book provides a survey of some aspects of extension problems in Complex Analysis and Geometry. It also includes detailed results by the author on non-compact extension: the cohomology of semi q-coronae and the unbounded boundary problem.
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