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.

Format Häftad Omfång 521 sidor Språk Engelska Förlag Birkhauser Verlag AG Utgivningsdatum 2015-11-19 ISBN 9783319160580