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

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

Paperback

CalculusGeneral Mathematics

ISBN10: 3319160583
ISBN13: 9783319160580
Publisher: Springer Nature
Published: Nov 19 2015
Pages: 521
Weight: 1.85
Height: 1.07 Width: 6.69 Depth: 9.61
Language: English

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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General Mathematics