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Abstract for MSRI Preprint 1996-049

Finitely Smooth Reinhardt Domains with Non-Compact Automorphism Group

Steven G. Krantz and Alexander V. Isaev

We give a complete description of bounded Reinhardt domains of finite boundary smoothness that have non-compact automorphism group. As part of this program, we show that the classification of domains with non-compact automorphism group and having only finite boundary smoothness is considerably more complicated than the classification of such domains that have infinitely smooth boundary.