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

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

Paperback / softback

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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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