Original scientific paper
A note on the cosine equation for probability measures on locally compact semigroups
Cvetan Jardas
; Ekonomski fakultet Sveucilista u Rijeci, 51000 Rijeka, Ivana Filipovi}a 4, Croatia
Abstract
In this note we study the cosine equation (5) where μt (tR) is probability measure on locally compact semigroup. If, in addition, the function t --> μt (t in R) satisfies the condition (6) it is shown that the solution of (5) is of the form μt = cos* t μ (t in R), where μ in M1 (S) is unique.
Keywords
cosine equation; probability measure on semigroup; convolution vague topology
Hrčak ID:
131580
URI
Publication date:
1.7.2005.
Visits: 580 *