An Advanced Complex Analysis Problem Book
Author | : Daniel Alpay |
Publisher | : Birkhäuser |
Total Pages | : 523 |
Release | : 2015-11-13 |
ISBN-10 | : 9783319160597 |
ISBN-13 | : 3319160591 |
Rating | : 4/5 (97 Downloads) |
Download or read book An Advanced Complex Analysis Problem Book written by Daniel Alpay and published by Birkhäuser. This book was released on 2015-11-13 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.