Hostname: page-component-7b9c58cd5d-dlb68 Total loading time: 0 Render date: 2025-03-15T11:05:32.522Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra

Published online by Cambridge University Press:  25 October 2004

MICHAEL BAAKE  and
DANIEL LENZ
MICHAEL BAAKE
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany (e-mail: mbaake@mathematik.uni-bielefeld.de)
DANIEL LENZ
Affiliation:
Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany (e-mail: dlenz@mathematik.tu-chemnitz.de)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Certain topological dynamical systems that arise from actions of $\sigma$-compact locally compact Abelian groups on compact spaces of translation bounded measures are considered. Such a measure dynamical system is shown to have a pure point dynamical spectrum if and only if its diffraction spectrum is pure point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 6 , December 2004 , pp. 1867 - 1893
Copyright
2004 Cambridge University Press