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On the Shift Semigroup on the Hardy Space of Dirichlet Series

Olofsson, Anders LU (2010) In Acta Mathematica Hungarica 128(3). p.265-286
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Wold decomposition, shift semigroup, Hardy space of Dirichlet series, invariant subspace
in
Acta Mathematica Hungarica
volume
128
issue
3
pages
265 - 286
publisher
Springer
external identifiers
  • wos:000280237500004
  • scopus:77954865574
ISSN
0236-5294
DOI
10.1007/s10474-010-9189-4
language
English
LU publication?
yes
id
885b013a-a000-4693-95ef-f27cc28bafff (old id 1654713)
date added to LUP
2010-08-26 15:42:05
date last changed
2018-05-29 11:03:33
@article{885b013a-a000-4693-95ef-f27cc28bafff,
  abstract     = {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.},
  author       = {Olofsson, Anders},
  issn         = {0236-5294},
  keyword      = {Wold decomposition,shift semigroup,Hardy space of Dirichlet series,invariant subspace},
  language     = {eng},
  number       = {3},
  pages        = {265--286},
  publisher    = {Springer},
  series       = {Acta Mathematica Hungarica},
  title        = {On the Shift Semigroup on the Hardy Space of Dirichlet Series},
  url          = {http://dx.doi.org/10.1007/s10474-010-9189-4},
  volume       = {128},
  year         = {2010},
}