Spectral Theory of Dynamical Systems (Texts and Readings in Mathematics)

M.G. Nadkarni

ISBN 10: 9386279819 / ISBN 13: 9789386279811

Published by Jainendra K Jain 2020-01-30, 2020

About this Item

Seller Inventory # 6666-GRD-9789386279811

Bibliographic Details

• Title: Spectral Theory of Dynamical Systems (Texts and Readings in Mathematics)
• Publisher: Jainendra K Jain 2020-01-30
• Publication Date: 2020
• Language: English
• ISBN 10: 9386279819
• ISBN 13: 9789386279811
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

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.

The major change in this edition is that a new chapter titled Calculus of Generalized Riesz Products has been added. This is based on some recent work of the author with El Houcein El Abdalaoui and supplements the material presented elsewhere in the book.