Com repartir punts uniformement en esferes?

Authors

  • Jordi Marzo

Abstract

How to distribute points uniformly on spheres? The Whittaker-Kotelnikov-Shannon theorem allows us to recover, in a stable way, a bandlimited function of finite energy by using only its values on the integers. Hence, the integers give an example of a set of stable sampling which is evenly distributed on the real line. In this paper, we consider the relation between the existence of evenly distributed sets of points and sets of stable sampling in various settings (the real line, the circle and the sphere).

Downloads

Published

2011-06-29

How to Cite

Marzo, J. (2011). Com repartir punts uniformement en esferes?. Butlletí De La Societat Catalana De Matemàtiques, 26(1), 57–68. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/68250.001

Issue

Vol. 26 No. 1 (2011)

Section

Articles

License

The intellectual property of articles belongs to the respective authors.

On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:

  1. Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.
  2. Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.
  3. Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.
  4. Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.
  5. The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.
  6. The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.