Polynomial interpolation and residue currents
Journal article, 2022

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.

Hermite interpolation

Polynomial interpolation

32C30

residue currents

32A27

moment conditions

Author

Jimmy Johansson

University of Gothenburg

Chalmers, Mathematical Sciences, Algebra and geometry

Complex Variables and Elliptic Equations

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

Vol. 67 7 1772-1781

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

DOI

10.1080/17476933.2021.1897796

More information

Latest update

7/4/2022 1