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...
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.
"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...
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Condition: New. Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations. Series: AMS Chelsea Publishing. Num Pages: 340 pages. BIC Classification: PBKD; PBW. Category: (P) Professional & Vocational. Dimension: 238 x 412 x 34. Weight in Grams: 898. . 2001. 2nd Edition. Hardcover. . . . . Seller Inventory # V9780821827246
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Condition: New. Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations. Series: AMS Chelsea Publishing. Num Pages: 340 pages. BIC Classification: PBKD; PBW. Category: (P) Professional & Vocational. Dimension: 238 x 412 x 34. Weight in Grams: 898. . 2001. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821827246
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