2009/05/07 by Oleg N. Ageev, Ageev, Oleg N.
Mathematics · #28D05 #37Axx #Dynamical Systems (math.DS) #FOS: Mathematics #Spectral Theory (math.SP) #math.DS #math.SP #msc:28D05 #msc:37Axx
paper · pdf · doi:10.48550/arxiv.0905.1091
3 pages
arxiv created 2009/05/07 · arxiv updated 2009/12/01
It is shown that for every α, where α∈ [0, 1/2], there exists an α-rigid transformation whose spectrum has Lebesgue component. This answers the question posed by Klemes and Reinhold in [7]. We apply a certain correspondence between weak limits of powers of a transformation and its skew products.