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A survey of conformally invariant measures on Hm(δ)

2007/02/22 by Pickrell, Doug
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0702672

Abstract

The universal covering of the group PSU(1,1) acts naturally on Hm(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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