International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 12, Pages 715-724
http://dx.doi.org/10.1155/S0161171202108076
Strict positive definiteness on spheres via disk polynomials
1Departamento de Matemática, ICMC-USP - São Carlos, Caixa Postal 668, São Carlos 13560-970, SP, Brazil
2Departamento de Matemática, CCE - Universidade Estadual de Maringá, Avenida Colombo 5790, Maringá 87020-900, PR, Brazil
Received 16 August 2001; Revised 3 April 2002
Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We characterize complex strictly positive definite functions on
spheres in two cases, the unit sphere of