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- W2895581747 abstract "We investigate the existence of low-cardinality cubature points on smooth, connected, compact affine algebraic manifolds of dimension $d$. We verify that if $N$ is larger than a suitable constant times $t^d$ and $N$ positive weights are fixed, then there exist cubature points of strength $t$. In contrast to the equal weight case, the constant depends not only on the manifold but also on the weights allowed. Our present results generalize recent findings on the existence of $t$-designs by Etayo, Marzo, and Ortega-Cerda. Concerning the unit sphere, our results even extend the corresponding findings of Bondarenko, Radchenko, and Viazovska." @default.
- W2895581747 created "2018-10-12" @default.
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- W2895581747 date "2018-10-02" @default.
- W2895581747 modified "2023-09-27" @default.
- W2895581747 title "On the existence of asymptotically optimal cubature points" @default.
- W2895581747 hasPublicationYear "2018" @default.
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