An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions 2015 Edition Contributor(s): Alpay, Daniel (Author) |
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ISBN: 3319160583 ISBN-13: 9783319160580 Publisher: Birkhauser OUR PRICE: $85.49 Product Type: Paperback Published: November 2015 |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Calculus |
Dewey: 515.7 |
Physical Information: 1.07" H x 6.69" W x 9.61" (1.85 lbs) 521 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |