This book treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein's family of mixing rank one automorphisms is described with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are discussed, and Baire category theorems of ergodic theory, scattered in the literature, are derived in a unified way. Riesz products are considered and they are used to describe the spectral types and eigenvalues of rank one automorphisms.
The major change in this edition is that a new chapter titled Calculus of Generalized Riesz Products has been added. This is based on some recent work of the author with El Houcein El Abdalaoui and supplements the material presented elsewhere in the book.
Spectral Theory of Dynamical Systems
Categorii:
Limba:
Engleza
Data publicarii:
2020
Editura:
Tip coperta:
Hardcover
Nr. pagini:
235
Colectie:
Editia:
a II-a
ISBN:
9789386279811
Dimensiuni: l: 16.5cm | H: 24.7cm | 2.2cm | 570g
51800
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