Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
The author introduces a class of positive definite kernels defined on a closed, compact, Riemannian manifold. These kernels provide a grid-free method for solving uniquely a generalized version of the Hermite interpolation problem. It is shown that this problem is well-posed for the class of interpolants constructed out of \(C^\infty\) spherical positive definite functions.
scientific article; zbMATH DE number 765116