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portada Spectral Theory of Dynamical Systems: Second Edition
Type
Physical Book
Author
Publisher
Language
English
Pages
223
Format
Paperback
Dimensions
23.4 x 15.6 x 1.3 cm
Weight
0.34 kg.
ISBN13
9789811562273
Categories

Spectral Theory of Dynamical Systems: Second Edition

Mahendra Nadkarni (Author) · Springer · Paperback

Spectral Theory of Dynamical Systems: Second Edition - Nadkarni, Mahendra

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Synopsis "Spectral Theory of Dynamical Systems: Second Edition "

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein's family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter "Calculus of Generalized Riesz Products", which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.

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