Nil Bohr-sets and almost automorphy of higher order

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 In...

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Bibliographic Details
Main Authors: Huang, Wen, Shao, Song, Ye, Xiangdong
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2016
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Automorphic functions
Fourier analysis
nilsystem
the regionally proximal relation of order <inline-formula content-type="math/mathml"> d d </inline-formula>
almost automorphy
Bohr set
generalized polynomials
Poincaré recurrence
Birkhoff recurrence set
Nilpotent Lie group
ISBN:9781470418724, 147041872X
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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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 In the second part, the notion of
Bibliography:Includes bibliographical references
Volume 241, number 1143 (fourth of 4 numbers), May 2016
ISBN:9781470418724
147041872X
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1143