EAN: 9783319160580

AN ADVANCED COMPLEX ANALYSIS PROBLEM BOOK - DAN...

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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