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2018-06

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/127174

Asymptotically optimal designs on compact algebraic manifolds

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Abstract

We find $t$-designs on compact algebraic manifolds with a number of points comparable to the dimension of the space of polynomials of degree $t$ on the manifold. This generalizes results on the sphere by Bondarenko, Radchenko and Viazovska. Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been proved previously.

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https://doi.org/10.1007/s00605-018-1174-y

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Expansions asimptòtiques, Teoria de l'aproximació, Geometria discreta

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Asymptotic expansions, Approximation theory, Discrete geometry

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ETAYO, Ujué, MARZO SÁNCHEZ, Jordi and ORTEGA CERDÀ, Joaquim. Asymptotically optimal designs on compact algebraic manifolds. Monatshefte für Mathematik. 2018. Vol. 186, num. 2, pags. 235-248. ISSN 0026-9255. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/127174

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