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arXiv · 1708.03886

Equidistribution in measure-preserving actions of semisimple groups : case of $SL_2(\mathbb{R})$

Amos Nevo
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Abstract

We prove pointwise convergence for the semi-radial averages on $G=SL_2(\mathbb{R})$ given by $\int_t^{t+1} m_K\ast \delta_{a_{s}}ds$ (and similar variants), acting on $K$-finite $L^p$-functions in a probability-measure-preserving action of the group, for $p > 1$.

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Amos Nevo. 2017-08-13. Equidistribution in measure-preserving actions of semisimple groups : case of $SL_2(\mathbb{R})$. https://arxiv.org/abs/1708.03886

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