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
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Sprache:eng
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Mathematics - Complex Variables
Mathematics - Dynamical Systems
Mathematics - Spectral Theory
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description 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.
doi_str_mv 10.48550/arxiv.1402.1312
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subjects Mathematics - Complex Variables
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Mathematics - Spectral Theory
title A non-singular transformation whose spectrum has Lebesgue component of multiplicity one
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