Positive Definite Functions for the Class Lp(G

Abstract

<p>This thesis contains four main theorems on Positive definite functions for the class Lp(G) over compact and locally compact groups. Information as to how the class P(F) varies with F is provided by those theorems. Some topological properties of the set P(Lp) ∩ Lq have been considered. Two results analogous to those of E. Hewitt and H. A. Naimark have also been proved.</p>