Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 56, Number 1 (2004), 31-43.
Universal functions on Stein manifolds
We study universal holomorphic functions on a Stein manifold with projective compactification. Let be a sequence of holomorphic automorphisms of . We prove that if is run-away, then the set of all universal functions with respect to in for all compact subsets with a certain property is the intersection of countable number of open dense subsets in the space of all holomorphic functions on . We also note that there is a close connection between the direction of run-awayness and a family of compact sets for which there exists a universal function.
J. Math. Soc. Japan, Volume 56, Number 1 (2004), 31-43.
First available in Project Euclid: 3 October 2007
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ABE, Yukitaka; ZAPPA, Paolo. Universal functions on Stein manifolds. J. Math. Soc. Japan 56 (2004), no. 1, 31--43. doi:10.2969/jmsj/1191418694. https://projecteuclid.org/euclid.jmsj/1191418694