Spectral Theory of Dynamical Systems (Birkhauser Advanced Texts / Basler Lehrbucher) - Hardcover

Nadkarni, M. G.

Hardcover

ISBN 10: 3764358173 ISBN 13: 9783764358174

Publisher: Birkhauser Verlag AG, 1998

Synopsis

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. "Spectral Theory of Dynamical Systems" is the first book devoted exclusively to this subject, moving from introductory material to some topics of current research. The exposition is at a general level and aimed at advanced students and researchers in dynamical systems.

About this title

Review

"This book is a well written introduction into the field of spectral theory and dynamical systems but it also contains some topics of current research. The exposition is very clear and the brevity of the book has not been achieved by giving terse proofs." --ZAA

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 1998
• Language: English
• ISBN 10: 3764358173
• ISBN 13: 9783764358174
• Binding: Hardcover
• Number of pages: 196