Table of contents

  1. Front Matter
    Pages i-xix
  2. Reproducing Kernel Hilbert Spaces

    1. Front Matter
      Pages 1-1
    2. Franciszek Hugon Szafraniec
      Pages 3-30
    3. Łukasz Kosiński, Włodzimierz Zwonek
      Pages 73-86
    4. Daniel Beltiţǎ, José E. Galé
      Pages 127-148
  3. Indefinite Inner Product Spaces

About this book

Introduction

A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.

Keywords

Schur analysis de Branges spaces indefinite inner product spaces infinite dimensional analysis noncommutative analysis reproducing kernel Hilbert spaces

Editors and affiliations

  • Daniel Alpay
    • 1
  1. 1.Earl Katz Chair in Algebraic System Theory, Department of MathematicsBen-Gurion University of the NegevBe’er ShevaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0667-1
  • Copyright Information Springer Basel 2015
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0666-4
  • Online ISBN 978-3-0348-0667-1
  • About this book