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Regularity of invariant distributions

Ulrich Bunke·Martin Olbrich
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Abstract

We consider a geometrically finite discrete group of conformal transformations of the sphere. Further we consider distributions which are supported on the limit set and are invariant with conformal weight. We estimate their regularity in terms of the conformal weight, the Hausdorff dimension of the limit set, and the maximal rank of the cusps of the group.

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Ulrich Bunke, Martin Olbrich. 2001-08-20. Regularity of invariant distributions. https://arxiv.org/abs/math/0103144

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