On the Shift Semigroup on the Hardy Space of Dirichlet Series
Författare
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.
Avdelning/ar
Publiceringsår
2010
Språk
Engelska
Sidor
265-286
Publikation/Tidskrift/Serie
Acta Mathematica Hungarica
Volym
128
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- Wold decomposition
- shift semigroup
- Hardy space of Dirichlet series
- invariant subspace
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0236-5294