Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
type: Item
instance of: scholarly article
title: Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
zbMATH Open document ID: 0859.58032
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-04-07T00:00:00Z
review text: 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.
reviewed by: T.Bokareva
Mathematics Subject Classification ID: 58J60
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 765116
zbMATH Keywords: generalized Hermite interpolation
zbMATH Keywords: positive definite kernel
zbMATH Keywords: Riemannian manifold
author: F. J. Narcowich
Wikidata QID: Q115395431
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1069
OpenAlex ID: W2074029034
DOI: 10.1006/JMAA.1995.1069
description: scientific article; zbMATH DE number 765116