The equivalent representation of the breadth-one D-invariant polynomial subspace and its discretization |
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Authors: | Xue Jiang Shugong Zhang |
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Affiliation: | 1.Institute of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education),Jilin University,Changchun,China |
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Abstract: | This paper demonstrates the equivalence of two classes of D-invariant polynomial subspaces, i.e., these two classes of subspaces are different representations of the breadth-one D-invariant subspace. Moreover, the authors solve the discrete approximation problem in ideal interpolation for the breadth-one D-invariant subspace. Namely, the authors find the points, such that the limiting space of the evaluation functionals at these points is the functional space induced by the given D-invariant subspace, as the evaluation points all coalesce at one point. |
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