多复变中的全纯函数和积分表示
多复变中的全纯函数和积分表示封面图

多复变中的全纯函数和积分表示

(美) 兰基, 著

出版社:世界图书出版公司北京公司

年代:2012

定价:55.0

书籍简介:

本书是一部运用积分表示方法讲述多复变的入门书籍。从基础讲述开始,讨论了伪凸性和全纯凸性中多维理论的新概念以后,接着讲述基本全局理论经典的和最新的的完整证明。

内容摘要:

I am pleased that Springer-Verlag has decided to reprint this book, giving
me the opportunity to include a number of corrections. The changes in this printing are mainly limited to the correction of typographical and other minor errors which I have become aware of since 1986. A couple of changes should be mentioned explicitly. The definition of completely srngular in Chapter H.2 has been modified slightly, the proof of Theorem I1.2.3 has been changed accordingly, and Appendix C has been rewritten. I would like to thank J. Bruna, K. Burke, J. Fleron, W. Rudin, W. Stoll and E. Straube for their helpful comments.
Soon after publication of the first edition, E. Martinelly brought to my at-tention some papers by F. Severi and G. Fichera, which play a fundamental role in the development of the so-called CR extension theorem. This result-a strengthening of the celebrated Hartogs Extension Theorem-involves the characterization of boundary values of holomorphic functions by the tangen- tial Cauchy-Riemann equations, i.e., by intrinsic conditions on the boundary.Unfortunately, much of the literature written in English related to tbis topic had been unaware of the work of Severi and Fichera, and thus it presents an inaccurate account of its history. In view of the new evidence and of the great interest which the Hartogs and CR extension phenomena have generated over many decades, I have completely revised and expanded the relevant sections
of the Notes to Chapter IV. and I have added several new references to
the bibliography. It is my pleasure to thank R. Gunning, L. Hormander, J.J.Kohn, E. Martinelly, and H. Rossi for their assistance in setting the record straight.

书籍规格:

书籍详细信息
书名多复变中的全纯函数和积分表示站内查询相似图书
9787510044052
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出版地北京出版单位世界图书出版公司北京公司
版次影印本印次1
定价(元)55.0语种英文
尺寸21 × 17装帧平装
页数 420 印数

书籍信息归属:

多复变中的全纯函数和积分表示是世界图书出版公司北京公司于2012.3出版的中图分类号为 O174 的主题关于 全纯函数-英文 ,积分表示-英文 的书籍。