Nil Bohr-sets and almost automorphy of higher order. Memoirs of the American Mathematical Society; Bd. volume 241 (4th of 4 numbers) = number 1143.

Huang, Wen; Shao, Song; Ye, Xiangdong

ISBN 10: 147041872X / ISBN 13: 9781470418724

Editore: Providence, American Mathematical Society, 2016

Riguardo questo articolo

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03365 9781470418724 Sprache: Englisch Gewicht in Gramm: 150. Codice articolo 2489272

Dati bibliografici

Titolo: Nil Bohr-sets and almost automorphy of ...

Casa editrice: Providence, American Mathematical Society

Data di pubblicazione: 2016

Legatura: Softcover

Descrizione articolo

Riassunto:

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 $d\in \mathbb{N}$ does the collection of $\{n\in \mathbb{Z}: S\cap (S-n)\cap\ldots\cap (S-dn)\neq \emptyset\}$ with $S$ syndetic coincide with that of Nil$_d$ Bohr$_0$-sets? In the second part, the notion of $d$-step almost automorphic systems with $d\in\mathbb{N}\cup\{\infty\}$ is introduced and investigated, which is the generalization of the classical almost automorphic ones.