Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/127174
Title: | Asymptotically optimal designs on compact algebraic manifolds |
Author: | Etayo, Ujué Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
Keywords: | Expansions asimptòtiques Teoria de l'aproximació Geometria discreta Asymptotic expansions Approximation theory Discrete geometry |
Issue Date: | Jun-2018 |
Publisher: | Springer Verlag |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s00605-018-1174-y |
It is part of: | Monatshefte für Mathematik, 2018, vol. 186, num. 2, p. 235-248 |
URI: | http://hdl.handle.net/2445/127174 |
Related resource: | https://doi.org/10.1007/s00605-018-1174-y |
ISSN: | 0026-9255 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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678956.pdf | 306.91 kB | Adobe PDF | View/Open |
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