Limit theorems for rank-one Lie groups

Gorodnik, Alexander; Ramírez, Felipe

doi:10.1090/S0002-9939-2014-12060-0

Limit theorems for rank-one Lie groups
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by Alexander Gorodnik and Felipe A. Ramírez PDF

Proc. Amer. Math. Soc. 142 (2014), 1359-1369 Request permission

Abstract:

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.

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