| 書目名稱 | The Cauchy-Riemann Complex | | 副標(biāo)題 | Integral Formulae an | | 編輯 | Ingo Lieb,Joachim Michel | | 視頻video | http://file.papertrans.cn/906/905766/905766.mp4 | | 概述 | Advanced Methods of Complex Analysis Applied to Classical and New Problems | | 叢書名稱 | Aspects of Mathematics | | 圖書封面 |  | | 描述 | This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com- plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com- plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi‘s problem in complex number space en. Chapter IV carries the theor | | 出版日期 | Book 2002 | | 關(guān)鍵詞 | Applications; Bochner-Martinelli formula; Hodge theory; Komplexe Analysis; Manifold; Neumann problem; calc | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-322-91608-2 | | isbn_softcover | 978-3-322-91610-5 | | isbn_ebook | 978-3-322-91608-2Series ISSN 0179-2156 | | issn_series | 0179-2156 | | copyright | Springer Fachmedien Wiesbaden 2002 |
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