Spectral Theory of Dynamical Systems
Book Details
Format
Paperback / Softback
Book Series
Texts and Readings in Mathematics
ISBN-10
9380250215
ISBN-13
9789380250212
Publisher
Hindustan Book Agency
Imprint
Hindustan Book Agency
Country of Manufacture
IN
Country of Publication
GB
Publication Date
Jul 30th, 2011
Print length
226 Pages
Product Classification:
Mathematics
Ksh 6,500.00
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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.
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