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A family of Sobolev orthogonal polynomials on the unit ball

Authors:	Yuan Xu

Institution:	Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA

Abstract:	A family of orthonormal polynomials on the unit ball B^d of with respect to the inner product where Δ is the Laplace operator, is constructed explicitly.

Keywords:	Sobolev orthogonal polynomials Several variables Unit ball
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