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Polynomial interpolation and residue currents

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We show that a global holomorphic section of O(d) restricted to a closed complex subspace X⊂Pn has an interpolant if and only if it satisfies a set of moment conditions… Click to show full abstract

We show that a global holomorphic section of O(d) restricted to a closed complex subspace X⊂Pn has an interpolant if and only if it satisfies a set of moment conditions that involves a residue curr...

Keywords: polynomial interpolation; residue currents; interpolation residue

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2021

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