Regularity of invariant distributions

Details Regularity of invariant distributions Regularity of invariant distributions

2001-03-23

arxiv.org/abs/math/0103144v2

Mathematics

Differential Geometry

58 pages; corrected version - The main theorem of the previous version was incorrect in the case that the invariant distributi

Scientific paper

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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