Regularity of invariant distributions
Differential Geometry
2007-05-23 v2 Representation Theory
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.
Cite
@article{arxiv.math/0103144,
title = {Regularity of invariant distributions},
author = {Ulrich Bunke and Martin Olbrich},
journal= {arXiv preprint arXiv:math/0103144},
year = {2007}
}
Comments
58 pages; corrected version - The main theorem of the previous version was incorrect in the case that the invariant distribution is not a cusp form. We thank W. Schmid for showing us a counterexample to this wrong claim