HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN Rn

We construct a set of explicit differential operators evaluated at a singular point on a quadratic hypersurface which gives a divisibility criterion. This result is then applied to collect interpolation conditions at distinct points to get new regular Hermite interpolation schemes in Rn.

Automated summary

This paper constructs a set of explicit differential operators that are evaluated at a singular point on a quadratic hypersurface, providing a divisibility criterion. The result is then utilized to collect interpolation conditions at distinct points, yielding new regular Hermite interpolation schemes in Rn.