| 书目名称 | Holomorphic Functions and Integral Representations in Several Complex Variables |
| 编辑 | R. Michael Range |
| 视频video | http://file.papertrans.cn/428/427950/427950.mp4 |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | 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 a |
| 出版日期 | Textbook 1986 |
| 关键词 | Convexity; Functions; Integral; Pseudoconvexity; Variables; minimum |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-1918-5 |
| isbn_softcover | 978-1-4419-3078-1 |
| isbn_ebook | 978-1-4757-1918-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 1986 |
|Archiver|手机版|小黑屋|
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