Israel Journal of Mathematics

, Volume 98, Issue 1, pp 307–328 | Cite as

Spectral analysis of certain compact factors for Gaussian dynamical systems

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Abstract

For factors of a Gaussian automorphismT determined by compact subgroups of the group of unitary operators acting onL 2 of the spectral measure ofT, we prove that the maximal spectral multiplicity is either 1 or infinity. As an application, we show that the maximal multiplicity of those factors an allL p, 1<p<+∞, is the same.

Keywords

Spectral Measure Ergodic Theory Compact Subgroup Conditional Measure Multiplicity Function 
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Copyright information

© Hebrew University 1997

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceNicholas Copernicus UniversityToruńPoland
  2. 2.Analyse et Modèles Stochastiques U.R.A.-C.N.R.S. 1378Université de RouenMont-Saint-AignanFrance

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