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An advanced complex analysis problem...

Alpay, Daniel.

An advanced complex analysis problem booktopological vector spaces, functional analysis and hilbert spaces of analytic functions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An advanced complex analysis problem bookby Daniel Alpay.
其他題名:	topological vector spaces, functional analysis and hilbert spaces of analytic functions /
作者:	Alpay, Daniel.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	ix, 521 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-16059-7
ISBN:	9783319160597$q(electronic bk.)

An advanced complex analysis problem booktopological vector spaces, functional analysis and hilbert spaces of analytic functions /
Alpay, Daniel.

An advanced complex analysis problem booktopological vector spaces, functional analysis and hilbert spaces of analytic functions /[electronic resource] :by Daniel Alpay. - Cham :Springer International Publishing :2015. - ix, 521 p. :ill., digital ;24 cm.

Prologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index.

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.

ISBN: 9783319160597$q(electronic bk.)

Standard No.: 10.1007/978-3-319-16059-7doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA320 / .A47 2015

Dewey Class. No.: 515.7

An advanced complex analysis problem booktopological vector spaces, functional analysis and hilbert spaces of analytic functions /
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