Click Here to Download: https://ouo.io/0EH7YP An Advanced Complex Analysis Problem Book Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions By: Daniel Alpay Publisher: Birkhäuser Print ISBN: 9783319160580, 3319160583 eText ISBN: 9783319160597, 3319160591 Copyright year: 2015 Format: PDF Available from $ 84.99 USD SKU 9783319160597 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.
