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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\...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Huang, Wen, 1975- (Autor), Shao, Song, 1976- (Autor), Ye, Xiangdong (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1143.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.