书目名称 | Several Complex Variables V | 副标题 | Complex Analysis in | 编辑 | G. M. Khenkin | 视频video | | 丛书名称 | Encyclopaedia of Mathematical Sciences | 图书封面 |  | 描述 | In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations. A common feature of the problem we shall consider is the fact that their solutions depend on tech niques and ideas from complex analysis. One finds in this way a remarkable and fruitful interplay between mean-periodicity and complex analysis. This is exactly what this part will try to explore. It is probably appropriate to stress the classical flavor of all of our treat ment. Even though we shall frequently refer to recent results and the latest theories (such as algebmic analysis, or the theory of Bernstein-Sato polyno mials), it is important to observe that the roots of probably all the problems we discuss here are classical in spirit, since that is the approach we use. For instance, most of Chap. 2 is devoted to far-reaching generalizations of a result dating back to Euler, and it is soon discovered that the key tool for such gen eralizations was first introduced by Jacobi! As the reader will soon discover, similar arguments can be made for each of the subsequent chap | 出版日期 | Book 1993 | 关键词 | Koordinatentransformation; Radon-Penrose; Radon-Penrose-Transformierte; Stringtheorie; complex analysis; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-58011-6 | isbn_softcover | 978-3-642-63433-8 | isbn_ebook | 978-3-642-58011-6Series ISSN 0938-0396 | issn_series | 0938-0396 | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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