Geodesic
The multiplicative structure and characteristic sets of holomorphic Noetherian operator-valued functions
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 603-618

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It is shown that a holomorphic Noetherian operator-valued function defined in a neighborhood of a holomorphically convex compact set in a Stein space can be written as a product of factors, one for each irreducible branch of the characteristic set. A dual result is also proved. The principal results were announced in RZhMat., 1972, 8B679. Bibliography: 13 titles. 
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A. A. Pankov. The multiplicative structure and characteristic sets of holomorphic Noetherian operator-valued functions. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 603-618. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a9/