On the Shift Semigroup on the Hardy Space of Dirichlet Series
(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:
https://lup.lub.lu.se/record/1654713
- author
- Olofsson, Anders LU
- organization
- publishing date
- 2010
- 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
- 2016-04-01 10:48:31
- date last changed
- 2022-01-26 02:38:18
@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}}, keywords = {{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}}, doi = {{10.1007/s10474-010-9189-4}}, volume = {{128}}, year = {{2010}}, }