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

Files

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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.

ISBN

978-3-319-16059-7

Publication Date

2015

Publisher

Springer

City

Cham, Switzerland

Disciplines

Algebra | Discrete Mathematics and Combinatorics | Other Mathematics

Comments

This text is only partially available through the link provided; some pages are not included. Please visit your local library or purchase the book through the "Buy This Book" link above to read the full text.

Copyright

Springer

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

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