On group actions with simple Lebesgue spectrum

Abstract

In this paper we propose a construction of measure preserving actions of the group $R^d$ with Lebesgue spectrum of multiplicity one.

21 pages, 5 figures

References in corpus (2)

• On ergodic properties of iceberg transformations. I: Approximation and spectral multiplicity
• On flat trigonometric sums and ergodic flow with simple Lebesgue spectrum