Hypergroup structures on the set of natural numbers

W.R. Bloom; S. Selvanathan

doi:10.1017/S0004972700002914

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Hypergroup structures on the set of natural numbers

Journal article

Peer reviewed

Hypergroup structures on the set of natural numbers

W.R. Bloom and S. Selvanathan

Bulletin of the Australian Mathematical Society, Vol.33(1), pp.89-102

1986

DOI: https://doi.org/10.1017/S0004972700002914

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Abstract

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.

Details

Title: Hypergroup structures on the set of natural numbers
Authors/Creators: W.R. Bloom (Author/Creator)
S. Selvanathan (Author/Creator)
Publication Details: Bulletin of the Australian Mathematical Society, Vol.33(1), pp.89-102
Publisher: Cambridge University Press
Identifiers: 991005544955207891
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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Citation topics: 9 Mathematics; 9.28 Pure Maths; 9.28.886 Operator Algebras
Web Of Science research areas: Mathematics
ESI research areas: Mathematics