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.

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

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£69.99

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Paperback / softback by Daniel Alpay

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This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between... Read more

    Publisher: Birkhauser Verlag AG
    Publication Date: 19/11/2015
    ISBN13: 9783319160580, 978-3319160580
    ISBN10: 3319160583

    Number of Pages: 521

    Non Fiction , Mathematics & Science , Education

    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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