Summary
We provide an alternate proof of McMullen's theorem on contractive properties of the Poincaré series operator in the special case of the universal covering. This case includes in particular Kra's Theta Conjecture.
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Oblatum 16-X-1991 & 14-IV-1992
First author supported in part by a grant from the National Science Foundation
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Barrett, D.E., Diller, J. Poincaré series and holomorphic averaging. Invent Math 110, 23–27 (1992). https://doi.org/10.1007/BF01231321
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DOI: https://doi.org/10.1007/BF01231321