| 書目名稱 | Function Theory in the Unit Ball of ?n | | 編輯 | Walter Rudin | | 視頻video | http://file.papertrans.cn/350/349539/349539.mp4 | | 叢書名稱 | Grundlehren der mathematischen Wissenschaften | | 圖書封面 |  | | 描述 | Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back- ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more | | 出版日期 | Book 1980 | | 關(guān)鍵詞 | Function; Funktionentheorie; Smooth function; complex analysis; convergence; differential equation; holomo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-8098-6 | | isbn_ebook | 978-1-4613-8098-6Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag New York Inc. 1980 |
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