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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 d\...
| Cote: | Libro Electrónico |
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| Auteurs principaux: | , , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, Rhode Island :
American Mathematical Society,
2016.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 1143. |
| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | 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, whic. |
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| Description: | "Volume 241, number 1143 (fourth of 4 numbers), May 2016." |
| Description matérielle: | 1 online resource (v, 86 pages) |
| Bibliographie: | Includes bibliographical references (pages 81-83) and index. |
| ISBN: | 9781470428792 1470428792 |
| ISSN: | 0065-9266 ; |