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Added 09/13/04:
After we submitted this paper for publication we received a message
from Pietro PoggiCorradini informing us that he had employed
more functiontheoretic arguments to (independently) obtain the
same a.e. convergence results we did for the interior fixedpoint
case, and the boundary fixedpoint hyperbolic and parabolic automorphism
cases. His paper can be downloaded at:
http://front.math.ucdavis.edu/math.CV/0407133
