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

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Alpay, Daniel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Subjects:
Functional analysis.
Operator theory.
Functional Analysis.
Operator Theory.
Online Access:Texto Completo
Table of Contents:
  • Prologue
  • Part I, Analytic functions
  • 1 Some algebra
  • 2 Exercises in complex variables
  • Part II, Topology and functional analysis
  • 3 Topological spaces
  • 4 Normed spaces
  • 5 Locally convex topological vector spaces
  • 6 Some functional analysis
  • Part III, Hilbert spaces of analytic functions
  • 7 Reproducing kernel Hilbert spaces
  • 8 Hardy spaces
  • 9 de Branges-Rovnyak spaces
  • 10 Bergman spaces
  • 11 Fock spaces
  • Index
  • Name index
  • Notation index.

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