Integral representation with weights II, division and interpolation |
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Authors: | Mats Andersson |
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Institution: | 1. Department of Mathematics, Chalmers University of Technology and the University of G?teborg, S-412 96, G?teborg, Sweden
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Abstract: | Let f be a r×m-matrix of holomorphic functions that is generically surjective. We provide explicit integral representation of holomorphic
ψ such that ϕ=f
ψ, provided that ϕ is holomorphic and annihilates a certain residue current with support on the set where f is not surjective. We also consider formulas for interpolation. As applications we obtain generalizations of various results
previously known for the case r=1.
The author was partially supported by the Swedish Research Council |
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Keywords: | Residue current Integral formula Ideal of holomorphic functions Complete intersection Matrix of holomorphic functions |
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