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Titlebook: Holomorphic Functions and Integral Representations in Several Complex Variables; R. Michael Range Textbook 1986 Springer Science+Business

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書目名稱Holomorphic Functions and Integral Representations in Several Complex Variables
編輯R. Michael Range
視頻videohttp://file.papertrans.cn/428/427950/427950.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Holomorphic Functions and Integral Representations in Several Complex Variables; R. Michael Range Textbook 1986 Springer Science+Business
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
關(guān)鍵詞Convexity; Functions; Integral; Pseudoconvexity; Variables; minimum
版次1
doihttps://doi.org/10.1007/978-1-4757-1918-5
isbn_softcover978-1-4419-3078-1
isbn_ebook978-1-4757-1918-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1986
The information of publication is updating

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,Function Theory on Domains of Holomorphy in ?,,e show that . for . ≥ 1, and we prove that this property characterizes Stein domains. §3 deals with some topological properties of Stein domains ., for example, we show that if . ? ?., then ..(., ?) = 0 for . > .. This section may be skipped without loss of continuity. Finally, in §4 and §5, the van
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Textbook 1986p 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
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Elementary Local Properties of Holomorphic Functions,lex variable theory with the calculus of several (real) variables. The reader should go through this material rapidly, with the goal of familiarizing himself with the results, notation, and terminology, and return to the appropriate sections later on, as needed. The inclusion at this stage of holomo
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