Electron. J. Diff. Eqns., Vol. 1997(1997), No. 19, pp 1-9.

Complex dynamical systems on bounded symmetric domains

Victor Khatskevich, Simeon Reich & David Shoikhet

Abstract:
We characterize those holomorphic mappings which are the infinitesimal generators of semi-flows on bounded symmetric domains in complex Banach spaces.

Submitted August 25, 1997. Published October 31, 1997.
Math Subject Classification: 34G20, 46G20, 47H20, 58C10.
Key Words: Bounded symmetric domain, complex Banach space, holomorphic mapping, infinitesimal generator, semi-complete vector field.

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Simeon Reich
Department of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel
e-mail: sreich@tx.technion.ac.il

David Shoikhet
Department of Applied Mathematics, International College of Technology, P.O. Box 78, 20101 Karmiel, Israel
e-mail: davs@tx.technion.ac.il