Spectral Theory of Dynamical Systems

Second Edition

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Éditeur :

Springer


Collection :

Texts and Readings in Mathematics

Paru le : 2020-08-29



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Description
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.
Pages
223 pages
Collection
Texts and Readings in Mathematics
Parution
2020-08-29
Marque
Springer
EAN papier
9789811562242
EAN PDF
9789811562259

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
22
Taille du fichier
1894 Ko
Prix
116,04 €