Spectral theory of dynamical systems
Nadkarni, M. G.
Spectral theory of dynamical systems - 2nd edition - New Delhi : Hindustan Book Agency, 2020. - viii, 223 pages ; 22 cm. - Texts and readings in mathematics ; 15 .
Includes bibliographical references and index.
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. In this edition the main change is that a new chapter is added which discusses more recent results connecting generalized Riesz products, Hardy classes, spectral ergodic theory and flat polynomials.
9789386279811
Differentiable dynamical systems
Spectral theory (Mathematics)
517.518.11 / NAD-S
Spectral theory of dynamical systems - 2nd edition - New Delhi : Hindustan Book Agency, 2020. - viii, 223 pages ; 22 cm. - Texts and readings in mathematics ; 15 .
Includes bibliographical references and index.
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. In this edition the main change is that a new chapter is added which discusses more recent results connecting generalized Riesz products, Hardy classes, spectral ergodic theory and flat polynomials.
9789386279811
Differentiable dynamical systems
Spectral theory (Mathematics)
517.518.11 / NAD-S
