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

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

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.

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Veröffentlicht in:arXiv.org 2014-07
Hauptverfasser: El Abdalaoui, E H, Nadkarni, M G
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Complex Variables
Mathematics - Dynamical Systems
Mathematics - Spectral Theory
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1402.1312