| 书目名称 | Entire Functions of Several Complex Variables | | 编辑 | Pierre Lelong,Lawrence Gruman | | 视频video | | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions dem | | 出版日期 | Book 1986 | | 关键词 | Area; Complex analysis; Frechet Spaces; Functions; Lelong; Schwarz lemma; Variables; analytic number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-70344-7 | | isbn_softcover | 978-3-642-70346-1 | | isbn_ebook | 978-3-642-70344-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 1986 |
The information of publication is updating
|
|
发表于 2025-3-21 17:57:13
