Nil Bohr-Sets and Almost Automorphy of Higher Order. (Record no. 127898)
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| fixed length control field | 03915nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4901862 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131324.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2016 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470428792 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470418724 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4901862 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4901862 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)938502613 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA353.A9 H83 2015 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.9 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Huang, Wen. |
| 245 10 - TITLE STATEMENT | |
| Title | Nil Bohr-Sets and Almost Automorphy of Higher Order. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (98 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.241 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Higher order Bohr problem -- 1.2. Higher order almost automorphy -- 1.3. Further questions -- 1.4. Organization of the paper -- Chapter 2. Preliminaries -- 2.1. Basic notions -- 2.2. Bergelson-Host-Kra' Theorem and the proof of Theorem A(2) -- 2.3. Equivalence of Problems B-I,II,III -- Chapter 3. Nilsystems -- 3.1. Nilmanifolds and nilsystems -- 3.2. Nilpotent Matrix Lie Group -- Chapter 4. Generalized polynomials -- 4.1. Definitions -- 4.2. Basic properties of generalized polynomials -- Chapter 5. Nil Bohr₀-sets and generalized polynomials: Proof of Theorem B -- 5.1. Proof of Theorem B(1) -- 5.2. Proof of Theorem B(2) -- Chapter 6. Generalized polynomials and recurrence sets: Proof of Theorem C -- 6.1. A special case and preparation -- 6.2. Proof of Theorem C -- Chapter 7. Recurrence sets and regionally proximal relation of order -- 7.1. Regionally proximal relation of order -- 7.2. Nil_{ } Bohr₀-sets, Poincaré sets and \RP^{[ ]} -- 7.3. _{ }-sets and \RP^{[ ]} -- 7.4. Cubic version of multiple recurrence sets and \RP^{[ ]} -- 7.5. Conclusion -- Chapter 8. -step almost automorpy and recurrence sets -- 8.1. Definition of -step almost automorpy -- 8.2. Characterization of -step almost automorphy -- Appendix A. -- A.1. The Ramsey properties -- A.2. Compact Hausdorff systems -- A.3. Intersective -- Bibliography -- Index -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Automorphic functions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fourier analysis. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shao, Song. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ye, Xiangdong. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Huang, Wen |
| Title | Nil Bohr-Sets and Almost Automorphy of Higher Order |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2016 |
| International Standard Book Number | 9781470418724 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901862">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901862</a> |
| Public note | Click to View |
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