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

ALPAY, Daniel - Personal Name;

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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Detail Information
Series Title
-
Call Number
515.7 ALP a
Publisher
Cham, Switzerland : Birkhäuser Cham., 2015
Collation
IX, 521
Language
English
ISBN/ISSN
978-3-319-16059-7
Classification
515.7
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
Ed. 1
Subject(s)
Functional Analysis
Operator Theory
Specific Detail Info
-
Statement of Responsibility
Daniel Alpay
Other Information
Cataloger
umi
Source
https://link.springer.com/content/pdf/10.1007/978-3-319-16059-7.pdf?pdf=button
Validator
-
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  • An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
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