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 kernels and of reproducing kernel Hilbert spaces. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
- ISBN: 978-3-319-16058-0
- Editorial: Birkhäuser
- Encuadernacion: Rústica
- Páginas: 527
- Fecha Publicación: 07/10/2015
- Nº Volúmenes: 1
- Idioma: Inglés