**AMS Chelsea Publishing**

Volume: 340;
1992;
564 pp;
Hardcover

MSC: Primary 32;
Secondary 35

**Print ISBN: 978-0-8218-2724-6
Product Code: CHEL/340.H**

List Price: $64.00

Individual Member Price: $57.60

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# Function Theory of Several Complex Variables: Second Edition

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*Steven G. Krantz*

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.

#### Table of Contents

# Table of Contents

## Function Theory of Several Complex Variables: Second Edition

#### Readership

Graduate students and research mathematicians interested in several complex variables and analytic spaces.

#### Reviews

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