Spectral Theory of Dynamical Systems
By: by M. G. Nadkarni
Series: Birkhäuser Advanced Texts, Basler Lehrbücher; Birkhäuser Advanced Texts, Basler Lehrbücher
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 1998
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 182
ISBN-13: 9783034897969; 9783034888417
Subjects: Mathematics
Description: 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.
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