Spectral Theory of Dynamical Systems

Language: English

Published by Jainendra K Jain, IN, 2020

9386279819 / 9789386279811

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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.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.

Title
Spectral Theory of Dynamical Systems
Author
M.G. Nadkarni
Publisher
Jainendra K Jain, IN
Publication year
2020
Condition
New
Binding
Hardback
Language
English
ISBN 10
9386279819
ISBN 13
9789386279811
Edition
Second Edition.

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