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Upper bounds for the spectral multiplicity of operators associated with regular cocycles

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Publication:1264291
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DOI10.1007/BF02780334zbMath0911.28013MaRDI QIDQ1264291

Mélanie Guenais

Publication date: 15 December 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

simple spectrumAnzai skew productsmaximal spectral multiplicityrank one transformation


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)


Related Items (3)

Covering numbers of rotations ⋮ Covering numbers: Arithmetics and dynamics for rotations and interval exchanges ⋮ Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle



Cites Work

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  • Absolutely continuous cocycles over irrational rotations
  • Systèmes localement de rang un
  • Joining-rank and the structure of finite rank mixing transformations
  • On systems of imprimitivity on locally compact Abelian groups with dense actions
  • Transformations With Discrete Spectrum are Stacking Transformations
  • Most monothetic extensions are rank-1
  • On the multiplicity function of ergodic group extensions, II


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