Limit theorems for rank-one Lie groups

Alexander Gorodnik; Felipe A. Ramirez

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arXiv · 1205.4930

Limit theorems for rank-one Lie groups

Alexander Gorodnik·Felipe A. Ramirez

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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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Alexander Gorodnik, Felipe A. Ramirez. 2012-05-22. Limit theorems for rank-one Lie groups. https://arxiv.org/abs/1205.4930

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