Polynomial interpolation and residue currents
Artikel i vetenskaplig tidskrift, 2021

We show that a global holomorphic section of O(d) restricted to a closed complex subspace X subset of P-n has an interpolant if and only if it satisfies a set of moment conditions that involves a residue current associated with a locally free resolution of O-X. When X is a finite set of points in C-n subset of P-n this can be interpreted as a set of linear conditions that a function on X has to satisfy in order to have a polynomial interpolant of degree at most d.

moment conditions

Polynomial interpolation

Hermite interpolation

residue currents


Jimmy Johansson

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Complex Variables and Elliptic Equations

1747-6933 (ISSN) 1747-6941 (eISSN)

Vol. In Press


Algebra och logik


Matematisk analys



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