Showing math.CVShow all
3 papers · 1 filter
math.CV2002
Quantum normal families: normal families of holomorphic functions and mappings on a Banach space
Kang-Tae Kim, Steven Krantz
The authors lay the foundations for the study of normal families of holomorphic functions and mappings on an infinite-dimensional normed linear space. Characterizations of normal f…
math.CV1999
On the automorphism groups of hyperbolic manifolds
A. V. Isaev, S. G. Krantz
We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension , whose group of holomorphic automorphisms has dimension and that, if a 3-dim…
math.CV1998
On the Dimensions of the Automorphism Groups of Hyperbolic Reinhardt Domains
James A. Gifford, Alexander V. Isaev, Steven G. Krantz
We study the possible dimensions that the groups of holomorphic automorphisms of hyperbolic Reinhardt domains can have. We are particularly interested in the problem of characteriz…