An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions

Alpay, Daniel

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.

Details

Published by: Birkhäuser

Publication Date: 2015-11-19

Format: Paperback

ISBN-13: 9783319160580

DOI: 10.1007/978-3-319-16059-7

Dimensions: 240cm x168cm

Pages: 521