An Advanced Complex Analysis Problem Book Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions /

• Main Author: Alpay, Daniel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 1st ed. 2015.
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

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...