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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.
- Illustratör: Bibliographie
- Format: Pocket/Paperback
- ISBN: 9783319160580
- Språk: Engelska
- Antal sidor: 521
- Utgivningsdatum: 2015-11-19
- Förlag: Birkhauser Verlag AG