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

Mathematics – Probability

Scientific paper

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AMSTEX 47 pages

Scientific paper

The universal covering of the group PSU(1,1) acts naturally on H^m(\delta),
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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