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.
- ISBN13 9783319160580
- Publish Date 19 November 2015
- Publish Status Active
- Out of Print 20 March 2021
- Publish Country CH
- Imprint Birkhauser Verlag AG
- Edition 1st ed. 2015
- Format Paperback
- Pages 521
- Language English