An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
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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
Recommended Citation
D. Alpay. An advanced complex analysis problem book. Topological Vector Spaces, Functional Analysis, and Hilbert spaces of analytic functions. (2015). Cham: Springer.
Copyright
Springer
Comments
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