An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions

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...

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Detalles Bibliográficos
Autor principal: Alpay, Daniel
Lenguaje:eng
Publicado: Springer 2015
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-16059-7
http://cds.cern.ch/record/2112886
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author Alpay, Daniel
author_facet Alpay, Daniel
author_sort Alpay, Daniel
collection CERN
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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-21128862021-04-21T20:00:42Zdoi:10.1007/978-3-319-16059-7http://cds.cern.ch/record/2112886engAlpay, DanielAn advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functionsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:21128862015
spellingShingle Mathematical Physics and Mathematics
Alpay, Daniel
An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title_full An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title_fullStr An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title_full_unstemmed An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title_short An advanced complex analysis problem book: topological vector spaces, functional analysis, and Hilbert spaces of analytic functions
title_sort advanced complex analysis problem book: topological vector spaces, functional analysis, and hilbert spaces of analytic functions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-16059-7
http://cds.cern.ch/record/2112886
work_keys_str_mv AT alpaydaniel anadvancedcomplexanalysisproblembooktopologicalvectorspacesfunctionalanalysisandhilbertspacesofanalyticfunctions
AT alpaydaniel advancedcomplexanalysisproblembooktopologicalvectorspacesfunctionalanalysisandhilbertspacesofanalyticfunctions

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