Geodesic
Positive Definite Functions for the Class Lp (G)
Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1149-1156

Voir la notice de l'article provenant de la source Cambridge University Press

There are several notions of positive definiteness for functions on topological groups, the two of which are: Bochner type positive definite functions and integrally positive definite functions. The class P(F) of positive definite functions for the class F can be defined more generally and it is interesting to observe that a change in F produces a different class P(F) of positive definite functions. The purpose of this paper is to study the functions in P(LP (G)) which are positive definite for the class LP (G) (1 ≦ p < ∞), where G is a compact or locally compact group. The relevant information about the class P(F) can be found in [1; 2; 3 and 8]. 
Husain, T.; Warsi, S. A. Positive Definite Functions for the Class Lp (G). Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1149-1156. doi: 10.4153/CJM-1975-120-8
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