Hindustan Book Agency 2011; 226 pp; softcover ISBN10: 9380250215 ISBN13: 9789380250212 List Price: US$44 Member Price: US$35.20 Order Code: HIN/54
 This book treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. 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, and 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. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership General audience interested in analysis. Reviews "... compile and communicate in a unique way a lot of mathematics that is of current interest but is not otherwise so readily at hand."  Ergodic Theory and Dynamical Systems Table of Contents  The HahnHellinger theorem
 The spectral theorem for unitary operators
 Symmetry and denseness of the spectrum
 Multiplicity and rank
 The Skew product
 A theorem of Helson and Parry
 Probability measures on the circle group
 Baire category theorems of ergodic theory
 Translations of measures on the circle
 B. Host's theorem
 Leigenvalues of nonsingular automorphisms
 Generalities on systems of imprimitivity
 Dual systems of imprimitivity
 Saturated subgroups of the circle group
 Riesz products as spectral measures
 Additional topics
