Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608120 | Journal of Approximation Theory | 2008 | 14 Pages |
Abstract
An explicit family of polynomials on the unit ball BdBd of RdRd is constructed, so that it is an orthonormal family with respect to the inner product〈f,g〉=ρ∫Bd∇f(x)·∇g(x)dx+L(fg),where ρ>0ρ>0, ∇∇ is the gradient, and L(fg)L(fg) is either the inner product on the sphere Sd-1Sd-1 or f(0)g(0)f(0)g(0).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yuan Xu,