【2015新书】An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
Book 图书名称:An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
Author 作者: Daniel Alpay
Publisher 出版社:Birkhäuser
Page 页数:523
Publishing Date 出版时间: Dec 10, 2015
Language 语言: English
Size 大小: 4 MB
Format 格式: pdf 文字版
ISBN: 3319160583, 9783319160580
Edition: 第1版 搜索过论坛,没有该文档
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.