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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 491=15, 2005.

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

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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

https://hrcak.srce.hr/131580

Publication date:

1.7.2005.

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