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ISBN 10: 3642109640
ISBN 13: 9783642109645
Author: F. Gherardelli
This volume brings together rigorous expositions and research-oriented contributions on topics in the theory of complex variables and analytic functions. The lectures explore foundational and specialised areas such as singularities of the Cauchy–Riemann equations, propagation of singularities, and important applications of analytic techniques in mathematics.
Published by Springer Berlin Heidelberg as part of the C.I.M.E. Summer Schools series, the book spans approximately 460 pages and serves both as a reference for graduate students and researchers in complex analysis and as documentation of historically significant advanced courses.
Chapter 1: Elementary Theory of Holomorphic Convexity
Chapter 2: Pseudoconcave Manifolds
Chapter 3: Properly Discontinuous Pseudoconcave Groups: The Siegel Modular Group
Chapter 4: Projective Imbeddings of Pseudoconcave Manifolds
Chapter 5: Meromorphic Functions on Complex Spaces
Chapter 6: The E. E. Levi Problem
Chapter 7: Generalizations of the Levi Problem
Chapter 8: Duality Theorems on Complex Manifolds
Chapter 9: The H. Lewy Problem
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Tags: F Gherardelli, Complex Analysis
