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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Bibliographische Detailangaben

Hauptverfasser:	Huang, Wen, Shao, Song, Ye, Xiangdong
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2016
Ausgabe:	1
Schriftenreihe:	Memoirs of the American Mathematical Society
Schlagworte:	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-Zugang:	Volltext
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