A family of Sobolev Orthogonal Polynomials on the Unit Ball

dc.creatorXu, Yuan
dc.date2005-07-28
dc.date.accessioned2026-07-07T05:22:04Z
dc.date.available2026-07-07T05:22:04Z
dc.descriptionA family of orthonormal polynomials on the unit ball $B^d$ of $\RR^d$ with respect to the inner product $$ < f,g > = \int_{B^d}Δ[(1-\|x\|^2) f(x)] Δ[(1-\|x\|) g(x)] dx, $$ where $Δ$ is the Laplace operator, is constructed explicitly.
dc.identifierhttps://arxiv.org/abs/math/0507580
dc.identifierhttp://arxiv.org/abs/math/0507580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75924
dc.subjectClassical Analysis and ODEs
dc.subject42A38, 42B08, 42B15
dc.titleA family of Sobolev Orthogonal Polynomials on the Unit Ball
dc.typetext

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