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Convergence of Averages in the Ergodic Theorem for Groups ℤd

✍ Scribed by A. G. Kachurovskii


Book ID
110313078
Publisher
Springer US
Year
2001
Tongue
English
Weight
215 KB
Volume
107
Category
Article
ISSN
1573-8795

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Let H=H n =C n \_R denote the Heisenberg group, and let \_ r denote the normalized Lebesgue measure on the sphere [(z, 0): |z| =r]. Let (X, B, m) be a standard Borel probability space on which H acts measurably and ergodically by measure preserving transformations, and let ?(\_ r ) denote the operat