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Positive Definite Functions for the Class Lp(G)

Published online by Cambridge University Press:  20 November 2018

T. Husain  and
S. A. Warsi
T. Husain
Affiliation:
McMaster University, Hamilton, Ontario
S. A. Warsi
Affiliation:
McMaster University, Hamilton, Ontario
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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].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1149 - 1156
Copyright
Copyright © Canadian Mathematical Society 1975

References

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