An Advanced Complex Analysis Problem Book
Subtitle: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
Publisher: Birkhäuser
Published: Nov 13, 2015
Language: eng
Format: paperback
Number of pages: 532
ISBN-13: 9783319160580
Description: 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.
Notes: Source title: An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions