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Analytic continuation of currents and division problems. (English) Zbl 0651.32005

The authors study the residue currents associated to a system of holomorphic functions in an open set of \({\mathbb{C}}^ n\); the main point is to find relations between the analytic continuation of distributions of the form \(| f|^{\lambda}\) and “explicit” division formulas.

MSC:

32A27 Residues for several complex variables
32C30 Integration on analytic sets and spaces, currents
32A38 Algebras of holomorphic functions of several complex variables
12D99 Real and complex fields
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