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Application of Banach limits to the study of sets of integers
Authors:Yuval Peres
Institution:(1) Present address: Department of Pure Mathematics, School of Mathematical Sciences, Tel Aviv University, Israel
Abstract:The Kamae and Mendes France version of the Van der Corput equidistribution theorem is extended further to summability methods different from Cesàro summability and groups different from the circle. The theorem is shown to follow naturally from consideration of Banach limits and spectral theory.
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