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Spectral Theory of Dynamical Systems


This book introduces some basic topics in the spectral theory of dynamical systems, but also includes advanced topics such as a theorem due to H. Helson and W. Parry, and another due to B. Host. 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. 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.

Author: M. G. Nadkarni
Year: 2011
Price: Rs. 300
Binding: Paperback
Pages: 226
Dimensions: 8.5 in x 5.5 in
Publisher: Hindustan Book Agency
ISBN 13: 9789380250212

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