Volume 25, pp. 284-301, 2006.

Analysis on the unit ball and on the simplex

Yuan Xu

Abstract

Many results on the unit ball and those on the simplex can be deduced from each other or from the corresponding results on the unit sphere. The areas in which such a connection appears include orthogonal polynomials, approximation, cubature formulas and polynomial interpolation. We explain this phenomenon in some detail.

Full Text (PDF) [285 KB]

Key words

analysis, ball, simplex, orthogonal polynomials, approximation, cubature

AMS subject classifications

41A10, 42C10, 41A63

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