Lectures on Analytic Function Spaces and their Applications

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied...

詳細記述

保存先:
書誌詳細
団体著者: SpringerLink (Online service)
その他の著者: Mashreghi, Javad (編集者)
フォーマット: 電子媒体 eBook
言語:英語
出版事項: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
版:1st ed. 2023.
シリーズ:Fields Institute Monographs, 39
主題:
オンライン・アクセス:https://doi.org/10.1007/978-3-031-33572-3
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目次:
  • Preface
  • Hardy Spaces
  • The Dirichlet space
  • Bergman space of the unit disc
  • Model Spaces
  • Operators on Function Spaces
  • Truncated Toeplitz Operators
  • Semigroups of weighted composition operators on spaces of holomorphic functions
  • The Corona Problem
  • A brief introduction to noncommutative function theory
  • An invitation to the Drury-Arveson space
  • References.