We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywhere, and we establish a more precise asymptotic formula that describes their deviations from the limit.
|Number of pages||11|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - Apr 2014|
- POINTWISE ERGODIC-THEOREMS
- RADIAL AVERAGES
- RAMANUJAN DUALS