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Holomorphic Functions And Integral Representations In Several Complex Variables by R. Michael Range

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Source: The Open Library

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1Holomorphic functions and integral representations in several complex variables

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“Holomorphic functions and integral representations in several complex variables” Metadata:

  • Title: ➤  Holomorphic functions and integral representations in several complex variables
  • Author:
  • Language: English
  • Number of Pages: Median: 399
  • Publisher: ➤  Springer-Verlag - Springer New York - Springer London, Limited
  • Publish Date:
  • Publish Location: New York
  • Dewey Decimal Classification: 515.98
  • Library of Congress Classification: QA-0331.00000000.R355 1986

“Holomorphic functions and integral representations in several complex variables” Subjects and Themes:

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Access and General Info:

  • First Year Published: 1986
  • Is Full Text Available: No
  • Is The Book Public: No
  • Access Status: Unclassified

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    2Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)

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    “Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)” Metadata:

    • Title: ➤  Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)
    • Author:
    • Languages: English - ger
    • Number of Pages: Median: 401
    • Publisher: Springer - Springer Verlag
    • Publish Date:

    Edition Identifiers:

    Access and General Info:

    • First Year Published: 1998
    • Is Full Text Available: No
    • Is The Book Public: No
    • Access Status: No_ebook

    Online Access

    Downloads Are Not Available:

    The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.

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      Source: Harvard Library

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      1Holomorphic functions and integral representations in several complex variables

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      “Holomorphic functions and integral representations in several complex variables” Metadata:

      • Title: ➤  Holomorphic functions and integral representations in several complex variables
      • Author:
      • Language: English
      • Publisher: Springer-Verlag
      • Publish Date:
      • Publish Location: New York (State)
      • Genres: bibliography

      “Holomorphic functions and integral representations in several complex variables” Subjects and Themes:

      Edition Specifications:

      • Number of Pages: xviii, 386 p. : ill. ; 25 cm.

      Edition Identifiers:

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      2Holomorphic Functions and Integral Representations in Several Complex Variables

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      This is an introductory text in several complex variables, using methods of integral representations. It begins with elementary local results, discusses basic new concepts of the multi-dimensional theory such as pseudoconvexity and holomorphic convexity, and leads up to complete proofs of fundamental global results, both classical and new. The use of integral representation techniques makes it possible to treat the subject with a minimum of prerequisites, and it has the further advantage that it uses the multivariable forms of theorem with which the students are already acquainted. This book also provides a systematic introduction to integral representation methods and their applications, including a simplified proof of C. Fefferman's famous mapping theorem.

      “Holomorphic Functions and Integral Representations in Several Complex Variables” Metadata:

      • Title: ➤  Holomorphic Functions and Integral Representations in Several Complex Variables
      • Author:
      • Language: English
      • Publisher: Springer New York :
      • Publish Date:
      • Publish Location: United States - New York, NY
      • Genres: government publication
      • Dewey Decimal Classification: 515
      • Library of Congress Classification: QA299.6-433

      “Holomorphic Functions and Integral Representations in Several Complex Variables” Subjects and Themes:

      Edition Specifications:

      • Number of Pages: XIX, 388 p. online resource.

      Edition Identifiers:

      Book Classifications

      • Dewey Decimal (DDC): ➤  515.
      • Library of Congress Classification (LCC): ➤  QA299.6-433.

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      3Holomorphic Functions and Integral Representations in Several Complex Variables

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      The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu­ lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ­ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com­ plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

      “Holomorphic Functions and Integral Representations in Several Complex Variables ” Metadata:

      • Title: ➤  Holomorphic Functions and Integral Representations in Several Complex Variables
      • Author:
      • Language: English
      • Publish Date:
      • Publish Location: United States - New York, NY
      • Dewey Decimal Classification: 515515.98
      • Library of Congress Classification: QA299.6-433

      “Holomorphic Functions and Integral Representations in Several Complex Variables ” Subjects and Themes:

      Edition Specifications:

      • Number of Pages: ➤  1 online resource (XX, 392 p.)

      Edition Identifiers:

      Book Classifications

      • Dewey Decimal (DDC): ➤  515  &  515.98.
      • Library of Congress Classification (LCC): ➤  QA299.6-433.

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