IJPAM: Volume 20, No. 4 (2005)
A FACTORIZATION THEOREM RELATED
TO COUSIN'S SECOND PROBLEM ON
CERTAIN STEIN MANIFOLDS
TO COUSIN'S SECOND PROBLEM ON
CERTAIN STEIN MANIFOLDS
E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Here we give a factorization theorem for any holomorphic fuction 
on certain Stein manifolds as a product (finite or infinite) of a nowhere vanishing holomorphic function and ``simpler functions'', each of them vanishing exactly on one of the hypersurfaces whose union is the zero-locus of 
.
Received: March 11, 2005
AMS Subject Classification: 32A38, 32E10
Key Words and Phrases: factorization of holomorphic functions, Stein manifold, Cousin's second problem, Cartier divisor
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 4
