Spectral Theory of Dynamical Systems

by M.G. Nadkarni

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

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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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