| 书目名称 | Several Complex Variables II | | 副标题 | Function Theory in C | | 编辑 | G. M. Khenkin,A. G. Vitushkin | | 视频video | | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functionsin complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a | | 出版日期 | Book 1994 | | 关键词 | Complex analysis; Dimension; Grad; Hardy-Räume; Leraysche Theorie; Monge-Ampere-Operator; Nevanlinna theor | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-57882-3 | | isbn_softcover | 978-3-642-63391-1 | | isbn_ebook | 978-3-642-57882-3Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 1994 |
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发表于 2025-3-21 19:18:16
