Wiener Wintner Ergodic Theorems PDF
by Assani Idris Assani
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Description
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. We study the rate of convergence in the uniform version of this theorem and what we call 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.
Information
-
Download - Immediately Available
- Format:PDF
- Pages:228 pages
- Publisher:World Scientific Publishing Company
- Publication Date:22/05/2003
- Category:
- ISBN:9789813105805
Information
-
Download - Immediately Available
- Format:PDF
- Pages:228 pages
- Publisher:World Scientific Publishing Company
- Publication Date:22/05/2003
- Category:
- ISBN:9789813105805
