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A Hartogs-type theorem for separately holomorphic mappings

Amal H.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 4

393-400

We prove that a separately holomorphic mapping from a cross W = E x V union of sets U x F, with U is a subset of C[sup n] and V is a subset C[sup n] be domains and E is a subset of U and F is a subset of V be locally pluriregular sets, into a hyperbolic complex space extends holomorphically to a neighbourhood of W.