No CrossRef data available.
Article contents
Bernstein's theorem for polynomial maps of complex topological vector spaces
Published online by Cambridge University Press: 14 November 2011
Synopsis
The well-known theorem of Bernstein is extended to generalized polynomial maps of closed balanced convex sets in complex Hausdorff topological vector spaces.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 329 - 331
- Copyright
- Copyright © Royal Society of Edinburgh 1985
References
1Hervé, M.. Analytic and plurisubharmonic functions. Lecture Notes in Mathematics 198 (Berlin: Springer, 1971).Google Scholar
2Hervé, M. Lindelöf's principle in infinite dimensions. Lecture Notes in Mathematics 364 (Berlin: Springer, 1974).Google Scholar
4Noverraz, P.. Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes. Ann. Inst. Fourier 19 (1970), 419–493.CrossRefGoogle Scholar
5Tung, S. H.. Extension of Bernstein's theorem. Proc. Amer. Math. Soc. 83 (1981), 103–106.Google Scholar
6Tung, S. H.. Bernstein's theorem for the polydisc. Proc. Amer. Math. Soc. 85 (1982), 73–76.Google Scholar