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Hypergroup structures on the set of natural numbers

Published online by Cambridge University Press:  17 April 2009

Walter R. Bloom  and
Saroja Selvanathan
Walter R. Bloom
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, PerthWestern Australia 6150Australia.
Saroja Selvanathan
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, PerthWestern Australia 6150Australia.
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Abstract

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Every hermitian hypergroup structure on the set of nonnegative integers can be generated by a family of real-valued continuous functions defined on a compact interval. we characterise such structures in terms of properties of the generating functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 1 , February 1986 , pp. 89 - 102
Copyright
Copyright © Australian Mathematical Society 1986

References

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