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

Daniel Alpay

Research output: Book/ReportBookpeer-review

10 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
Place of PublicationCham
PublisherSpringer International Publishing; Imprint: Birkhäuser
Number of pages521
Edition1st ed. 2015
ISBN (Electronic)9783319160597
ISBN (Print)9783319160580
DOIs
StatePublished - 2015

ASJC Scopus subject areas

  • Mathematics (all)

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