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.
| ISBN-13: | 9783319160580 |
| ISBN-10: | 3319160583 |
| Publisher: | Springer International Publishing |
| Publication date: | 2015-11-19 |
| Edition description: | 1st ed. 2015 |
| Pages: | 521 |
| Product dimensions: | Height: 9.45 Inches, Length: 6.61 Inches, Weight: 1.85 Pounds, Width: 1.2 Inches |
| Author: | Daniel Alpay |
| Language: | en |
| Binding: | Paperback |
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