Castro, Mario H.
Peron, Ana Paula
Total Authors: 3
 Univ Fed Uberlandia, Dept Matemat, Uberlandia, MG - Brazil
 Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Web of Science Citations:
In this paper we consider Positive Definite functions on products Omega(2q) x Omega(2p) of complex spheres, and we obtain a condition, in terms of the coefficients in their disc polynomial expansions, which is necessary and sufficient for the function to be Strictly Positive Definite. The result includes also the more delicate cases in which p and/or q can be 1 or infinity. The condition we obtain states that a suitable set in Z(2), containing the indexes of the strictly positive coefficients in the expansion, must intersect every product of arithmetic progressions. (AU)