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Focusing on the connections between functional analysis and single-variable function theory, this exercises book for graduate students emphasizes positive definite kernels and reproducing kernel Hilbert spaces. It surveys essential facts from functional analysis and topological vector spaces, followed by an exploration of various Hilbert spaces of analytic functions. This approach provides a comprehensive understanding of the interplay between these mathematical concepts.
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An Advanced Complex Analysis Problem Book, Daniel Alpay
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- 2015
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