Sobolev orthogonal polynomials defined via gradient on the unit ball
Classical Analysis and ODEs
2007-05-23 v1
Abstract
An explicit family of polynomials on the unit ball of is constructed, so that it is an orthonormal family with respect to the inner product where , is the gradient, and is either the inner product on the sphere or .
Keywords
Cite
@article{arxiv.math/0612527,
title = {Sobolev orthogonal polynomials defined via gradient on the unit ball},
author = {Yuan Xu},
journal= {arXiv preprint arXiv:math/0612527},
year = {2007}
}
Comments
12 pages