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An infinitesimal version of Cartan's uniqueness theorem

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Abstract

A uniqueness theorem for complexified complete holomorphic vector fields on bounded domains in a complex Banach space is given. The result is new even in the finite dimensional case-applications are obtained for the automorphisms of Siegel domains.

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Kaup, W., Upmeier, H. An infinitesimal version of Cartan's uniqueness theorem. Manuscripta Math 22, 381–401 (1977). https://doi.org/10.1007/BF01168224

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  • DOI: https://doi.org/10.1007/BF01168224

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