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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...

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Detalhes bibliográficos
Autor Corporativo: SpringerLink (Online service)
Outros Autores: Mashreghi, Javad (Editor)
Formato: Recurso Electrónico livro electrónico
Idioma:inglês
Publicado em: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edição:1st ed. 2023.
Colecção:Fields Institute Monographs, 39
Assuntos:
Functions of complex variables.
Functional analysis.
Operator theory.
Functions of a Complex Variable.
Functional Analysis.
Operator Theory.
Several Complex Variables and Analytic Spaces.
Acesso em linha:https://doi.org/10.1007/978-3-031-33572-3
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Sumário:
  • 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.

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