An Advanced Complex Analysis Problem Book
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2026-08-08
2026-08-15
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| 2026-08-08 | 50,18 |
| 2026-08-15 | 41,99 |
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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.