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Polynomial Convexity: 261 (Progress in Mathematics, 261) - Hardcover

Book 69 of 170: Progress in Mathematics

Stout, Edgar Lee

 
9780817645373: Polynomial Convexity: 261 (Progress in Mathematics, 261)
Hardcover
ISBN 10: 0817645373 ISBN 13: 9780817645373
Publisher: Birkhäuser, 2007

Synopsis

This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. The book also discusses important applications and motivates the reader with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.

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From the Back Cover

This comprehensive monograph is devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables.

Important features of Polynomial Convexity:

*Presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets.

*Motivates the theory with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.

*Examines in considerable detail questions of uniform approximation, especially on totally real sets, for the most part on compact sets but with some attention to questions of global approximation on noncompact sets.

*Discusses important applications, e.g., to the study of analytic varieties and to the theory of removable singularities for CR functions.

*Requires of the reader a solid background in real and complex analysis together with some previous experience with the theory of functions of several complex variables as well as the elements of functional analysis.

This beautiful exposition of a rich and complex theory, which contains much material not available in other texts, is destined to be the standard reference for many years, and will appeal to all those with an interest in multivariate complex analysis.

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Publisher
Birkhäuser
Publication date
2007
Language
English
ISBN 10 
0817645373
ISBN 13 
9780817645373
Binding
Hardcover
Number of pages
439