paper

A survey of conformally invariant measures on H^m(δ)

arXiv:math/0702672

Abstract

The universal covering of the group PSU(1,1) acts naturally on H^m(δ), the space of holomorphic differentials of order m on the Poincare disk. The purpose of this paper is to survey, as broadly as I am able, the basic sources and examples of invariant measures for this action.

AMSTEX 47 pages