Wiener Wintner Ergodic Theorems by Idris Assani

This text studies the rate of convergence in the uniform version of the Wiener Wintner ergodic theorem and what are termed Wiener Wintner dynamical systems. The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem. Announced by N. Wiener and A. Wintner, this theorem has introduced the study of a general phenomenon in ergodic theory in which samplings are "good" for an uncountable number of systems. This book studies the rate of convergence in the uniform version of this theorem and what are termed Wiener Wintner dynamical systems and prove for these systems two pointwise results: the a.e. double recurrence theorem and the a.e. continuity of the fractional rotated ergodic Hilbert transform. Some extensions of the Wiener Wintner ergodic theorem are also given.
`Author(s) :` Idris Assani	`Format :` Hardback Book
`ISBN-10 :` 9810244398	`ISBN-13 :` 9789810244392
`RRP :` £29.00	`Best available price :` £ / $
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Product Details:

Country Publication : Singapore

Publication Date : 01/05/2003

Publisher : World Scientific Publishing Co Pte Ltd

Page Length : 228mm

Page Size : 230mm