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.

Polynomial interpolation

32A27

32C30

Hermite interpolation

residue currents

moment conditions

Författare

Jimmy Johansson

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri

Complex Variables and Elliptic Equations

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

Vol. In Press

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1080/17476933.2021.1897796

Mer information

Senast uppdaterat

2021-06-11