ENGLISH

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

By Daniel Alpay

Book information

Publisher
Birkhäuser
Year
2015
ISBN
3319160583, 9783319160580
DOI
10.1007/978-3-319-16059-7
Language
english
Format
PDF
Filesize
4 MB (4564084 bytes)
Pages
523\523
Time added
2015-11-28 19:30:47
Functional Analysis; Operator Theory

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.

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