Berenstein, Carlos A.; Gay, Roger; Yger, Alain Analytic continuation of currents and division problems. (English) Zbl 0651.32005 Forum Math. 1, No. 1, 15-51 (1989). 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. Cited in 10 Documents 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 Keywords:interpolation; algebra of holomorphic functions; residue currents; analytic continuation of distributions; division PDFBibTeX XMLCite \textit{C. A. Berenstein} et al., Forum Math. 1, No. 1, 15--51 (1989; Zbl 0651.32005) Full Text: DOI EuDML