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
โฆ LIBER โฆ
Local ergodic theorems for K-spherical averages on the Heisenberg group
โ Scribed by S. Thangavelu
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- French
- Weight
- 189 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0025-5874
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## Abstract In this paper we prove a Tauberian type theorem for the space __L__ $ ^1 \_{\bf m} $(H~__n__~ ). This theorem gives sufficient conditions for a __L__ $ ^1 \_{\bf 0} $(H~__n__~ ) submodule __J__ โ __L__ $ ^1 \_{\bf m} $(H~__n__~ ) to make up all of __L__ $ ^1 \_{\bf m} $(H~__n__~ ). As a
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