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AMS Chelsea Publishing
1992; 564 pp; hardcover
List Price: US$64
Member Price: US$57.60
Order Code: CHEL/340.H
Analytic Functions of Several Complex Variables - Robert C Gunning and Hugo Rossi
This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.
Graduate students and research mathematicians interested in several complex variables and analytic spaces.
"This book makes available a comprehensive, detailed and carefully organized treatment of the foundations for multidimensional complex analysis. ...provides all sorts of topics and exercises which stretch the imagination and show how useful the subject really is."
-- Zentralblatt MATH
"One of the remarkable features of this book is that it contains a large number of exercises and problems. ...the student needs a book like Krantz's, which is written as a text with explainations and exercises."
-- Bulletin of the American Mathematical Society
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