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Nil Bohr Sets and Almost Automorphy of Higher Order Book PDF Summary

Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.

Detail Book of Nil Bohr Sets and Almost Automorphy of Higher Order PDF

Nil Bohr Sets and Almost Automorphy of Higher Order
  • Author : Wen Huang
  • Release : 26 April 2016
  • Publisher : American Mathematical Soc.
  • ISBN : 9781470418724
  • Genre : Mathematics
  • Total Page : 98 pages
  • Language : English
  • PDF File Size : 10,9 Mb

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