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

Doug Pickrell
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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.

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Doug Pickrell. 2007-02-22. A survey of conformally invariant measures on H^m(δ). https://arxiv.org/abs/math/0702672

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