Alan G. Konheim, Martin Reiser
Journal of the ACM
Let 𝐅, B denote two families of functions a, b: X → Y. A function F ⊆Y → Y is said to operate in (𝐅, B) provided that for each a ∈𝐅 with range (a)⊆ Z we have F(a)∈ B. Let G denote a locally compact Abelian group. In this paper we characterize the functions which operate in two cases: (i) 𝐅 = ϕr(G) = positive definite functions on G with ϕ(e) = r and B = ϕi.d.,.(G) = infinitely divisible positive definite functions on G with ϕ(e) = s. (ii) 𝐅 = B = ϕ∼(G) = ϕi.d.,.(G). © 1968 by Pacific Journal of Mathematics.
Alan G. Konheim, Martin Reiser
Journal of the ACM
Alan G. Konheim
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Wesley W. Chu, Alan G. Konheim
IEEE Transactions on Communications
Benjamin Weiss
Proceedings of the American Mathematical Society