Wiener Wintner Ergodic Theorems
Idris Assani
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.
श्रेणियाँ:
साल:
2003
प्रकाशन:
World Scientific Pub Co Inc
भाषा:
english
पृष्ठ:
232
ISBN 10:
9810244398
ISBN 13:
9789810244392
फ़ाइल:
DJVU, 1.58 MB
IPFS:
,
english, 2003
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