TY - GEN AU - Nadkarni,M.G. TI - Spectral theory of dynamical systems T2 - Texts and readings in mathematics SN - 9789386279811 U1 - 517.518.11 PY - 2020/// CY - New Delhi PB - Hindustan Book Agency KW - Differentiable dynamical systems KW - Spectral theory (Mathematics) N1 - Includes bibliographical references and index N2 - 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 UR - http://www.hindbook.com/images/trim15_content.pdf UR - https://www.goodreads.com/book/show/42265085-spectral-theory-of-dynamical-systems?ref=nav_sb_ss_1_13#CommunityReviews ER -