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Analysis of Several Complex Variables
 
Takeo Ohsawa Nagoya University, Nagoya, Japan
Front Cover for Analysis of Several Complex Variables
Available Formats:
Softcover ISBN: 978-0-8218-2098-8
Product Code: MMONO/211
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Electronic ISBN: 978-1-4704-4636-9
Product Code: MMONO/211.E
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $60.00
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Front Cover for Analysis of Several Complex Variables
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Analysis of Several Complex Variables
Takeo Ohsawa Nagoya University, Nagoya, Japan
Available Formats:
Softcover ISBN:  978-0-8218-2098-8
Product Code:  MMONO/211
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Electronic ISBN:  978-1-4704-4636-9
Product Code:  MMONO/211.E
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 2112002; 121 pp
    MSC: Primary 32;

    One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations).

    Emphasis is on recent results, including an \(L^2\) extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, the book covers topics at the intersection of the theory of analytic functions of several variables and mathematical analysis.

    It is assumed that the reader has a basic knowledge of complex analysis at the undergraduate level. The book would make a fine supplementary text for a graduate-level course on complex analysis.

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • Holomorphic functions
    • Rings of holomorphic functions and $\overline {\partial }$ cohomology
    • Pseudoconvexity and plurisubharmonic functions
    • $L^2$ estimates and existence theorems
    • Solutions of the extension and division problems
    • Bergman kernels
  • Reviews
     
     
    • The goal of this admirable little book is … to ascend rapidly to a few well-chosen peaks.

      Mathematical Reviews
    • Concise booklet … The author gives a lucid presentation … The book would make a fine supplementary text for a graduate-level course on complex analysis.

      Zentralblatt MATH
  • Request Review Copy
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Iwanami Series in Modern Mathematics
Volume: 2112002; 121 pp
MSC: Primary 32;

One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations).

Emphasis is on recent results, including an \(L^2\) extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, the book covers topics at the intersection of the theory of analytic functions of several variables and mathematical analysis.

It is assumed that the reader has a basic knowledge of complex analysis at the undergraduate level. The book would make a fine supplementary text for a graduate-level course on complex analysis.

Readership

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

  • Chapters
  • Holomorphic functions
  • Rings of holomorphic functions and $\overline {\partial }$ cohomology
  • Pseudoconvexity and plurisubharmonic functions
  • $L^2$ estimates and existence theorems
  • Solutions of the extension and division problems
  • Bergman kernels
  • The goal of this admirable little book is … to ascend rapidly to a few well-chosen peaks.

    Mathematical Reviews
  • Concise booklet … The author gives a lucid presentation … The book would make a fine supplementary text for a graduate-level course on complex analysis.

    Zentralblatt MATH
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