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arxiv: 1402.1312 · v2 · pith:BWQ42J6Vnew · submitted 2014-02-06 · 🧮 math.DS · math.CV· math.SP

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

classification 🧮 math.DS math.CVmath.SP
keywords componentlebesguemultiplicitynon-singularspectrumwhoseadmitsergodic
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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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