Function Theory of Several Complex Variables (Hardcover)

Steven G. Krantz

ISBN 10: 0821827243 / ISBN 13: 9780821827246

Published by American Mathematical Society, Providence, 2001

About this Item

Hardcover. 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. This work emphasizes 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780821827246

Bibliographic Details

• Title: Function Theory of Several Complex Variables (Hardcover)
• Publisher: American Mathematical Society, Providence
• Publication Date: 2001
• Language: English
• ISBN 10: 0821827243
• ISBN 13: 9780821827246
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

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. <P>It is currently the only book on the subject with exercises and a large number of examples.

About the Author

Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 150 research articles and over 50 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS.