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On ergodic flows with simple Lebesgue spectrum A. A. Prikhod'ko ab a Department of Innovations and High Technology, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia b Caucasus Mathematical Center, Adyghe State University, Maikop, Russia Abstract:
We prove the existence of ergodic flows with invariant probability measure having a Lebesgue spectrum of multiplicity
$1$ .
Bibliography: 15 titles.
Keywords:
simple Lebesgue spectrum, Banach problem, flows of rank $1$ , Littlewood polynomials.
UDC:
517.538
MSC: Primary
37A10 ; Secondary
28D10 Received: 14.06.2012 and 01.10.2019
DOI:
10.4213/sm8147
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