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On the Shift Semigroup on the Hardy Space of Dirichlet Series

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Author

Summary, in English

We develop a Wold decomposition for the shift semigroup on the Hardy space H-2 of square summable Dirichlet series convergent in the half-plane R(s) > 1/2. As an application we have that a shift invariant subspace of H-2 is unitarily equivalent to H-2 if and only if it has the form phi H-2 for some H-2-inner function phi.

Publishing year

2010

Language

English

Pages

265-286

Publication/Series

Acta Mathematica Hungarica

Volume

128

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Wold decomposition
  • shift semigroup
  • Hardy space of Dirichlet series
  • invariant subspace

Status

Published

ISBN/ISSN/Other

  • ISSN: 0236-5294