An advanced complex analysis: Topological vector spaces, functional analysis, and hilbert spaces of analytic functions

Daniel Alpay

Research output: Book/ReportBookpeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish
PublisherSpringer International Publishing
Number of pages283
ISBN (Electronic)9783319160597
ISBN (Print)9783319160580
DOIs
StatePublished - 1 Jan 2015

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