| Description |
1 online resource (v, 86 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 241, number 1143 |
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Memoirs of the American Mathematical Society ; no. 1143.
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| Contents |
Introduction -- Preliminaries -- Nilsystems -- Generalized polynomials -- Nil Bohr₀-sets and generalized polynomials: c Proof of Theorem B -- Generalized polynomials and recurrence sets: Proof of Theorem C -- Recurrence sets and regionally proximal relation of order d -- d-step almost automorpy and recurrence sets -- Appendix A |
| 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\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 |
| Notes |
"Volume 241, number 1143 (fourth of 4 numbers), May 2016." |
| Bibliography |
Includes bibliographical references (pages 81-83) and index |
| Notes |
Online resource; title from PDF title page (viewed March 24, 2016) |
| Subject |
Automorphic functions.
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Fourier analysis.
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Fourier Analysis
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Automorphic functions
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Fourier analysis
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| Form |
Electronic book
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| Author |
Shao, Song, 1976- author.
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Ye, Xiangdong, author.
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American Mathematical Society, publisher
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| ISBN |
9781470428792 |
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1470428792 |
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