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math.CV2008
Automorphism groups of domains that depend on fewer than the maximal number of parameters
Jisoo Byun, Steven G. Krantz
We study domains in complex -space with automorphism group that does not depend on the full dimensions of the ambient space. A sufficient geometric condition is obtained to…
math.CV2001
Characterization of the Hilbert ball by its automorphism group
Kang-Tae Kim, Steven G. Krantz
Let be a bounded, convex domain in a separable Hilbert space. The authors prove a version of the theorem of Bun Wong, which asserts that if such a domain admits an automorphism…