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A non-singular transformation whose spectrum has Lebesgue component of multiplicity one

Published online by Cambridge University Press:  06 November 2014

E. H. EL ABDALAOUI Open the ORCID record for E. H. EL ABDALAOUI [Opens in a new window]  and
M. G. NADKARNI
E. H. EL ABDALAOUI
Affiliation:
Normandie University, University of Rouen, Department of Mathematics, LMRS UMR 60 85 CNRS, Avenue de l’Université, BP 12, 76801 Saint Etienne du Rouvray, France email [email protected]
M. G. NADKARNI
Affiliation:
Department of Mathematics, University of Mumbai, Vidyanagari, Kalina, Mumbai 400098, India email [email protected]
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Abstract

In this note we give an example of an ergodic non-singular map whose unitary operator admits a Lebesgue component of multiplicity one in its spectrum.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 3 , May 2016 , pp. 671 - 681
Copyright
© Cambridge University Press, 2014 

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