# The associated measure on locally compact cocommutative KPC-hypergroups

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎The University of Qom‎, ‎3716146611‎, ‎Iran.

2 Department of Mathematics‎, ‎The University of Qom‎, ‎371614newline 6611‎, ‎Iran.

Abstract

We study harmonic analysis on cocommutative KPC-hyper-groups‎, which is a generalization of DJS-hypergroups‎, ‎introduced by Kalyuzhnyi‎, ‎Podkolzin and Chapovsky‎. ‎We prove that there is a relationship between‎ ‎the associated measures $\mu$ and $\gamma \mu$‎, ‎where $\mu$ is‎ ‎a Radon measure on KPC-hypergroup $Q$ and $\gamma$ is a character on $Q$.

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#### References

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### History

• Receive Date: 08 February 2015
• Revise Date: 23 September 2015
• Accept Date: 03 October 2015