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Functional equations on an infinite hypergroup join

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2019
. In the paper we deal with some basic functional equations on an infinite hypergroup join.
Ż. Fechner, László Székelyhidi
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Hypergroups and Signed Hypergroups

1998
Hypergroups, as I understand them, have been around since the early 1970’s when Charles Dunkl, Robert Jewett and Rene Spector independently created locally compact hypergroups with the purpose of doing standard harmonic analysis. As one would expect, there were technical differences in their definitions.
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Complementary hypergroups.

2003
Starting from a given hypergroupoid \((H,\circ)\) and using the notion of the complete closure (of the non-empty hyperproduct of two arbitrary elements of \((H,\circ)\)), a new hyperproduct is defined on \(H\) and the concept of the complementary hypergroupoid is introduced. The authors study the properties of the previous complementary hyperstructures,
ROTA, Rosaria, PROCESI R.
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On the γ n -complete hypergroups and K H hypergroups

Acta Mathematica Sinica, English Series, 2008
The notion of the \(\gamma_n\)-complete hypergroups is introduced and studied. This notion is similar to the \(n\)-complete hypergroups. Several results and examples on the topic are presented. The main result is: If a hypergroup is \(\gamma_n\)-complete then \(\gamma^*=\gamma_n\). The paper also presents results on the \(K_H\)-hypergroups.
Davvaz, Bijan, Karimian, M.
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An Imprimitivity Theorem for Representations of a Semi-Direct Product Hypergroup

Journal of Lie theory, 2014
. The purpose of the present paper is to establish an imprimitivity theorem for representations of a semi-direct product hypergroup K = H (cid:111) β G defined by a smooth action β of a locally compact group G on a hypergroup H .
H. Heyer, S. Kawakami
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Fourier algebra of a hypergroup – II. Spherical hypergroups

Mathematische Nachrichten, 2008
AbstractWe in this article, introduce a class of hypergroups called ultraspherical hypergroups and show that the Fourier space of an ultraspherical hypergroup forms a Banach algebra under pointwise product. These hypergroups need not be commutative and include for example double coset hypergroups.
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Reversible hypergroups

Rendiconti del Seminario Matematico e Fisico di Milano, 1977
Usando le proprieta dei caratteri di un gruppo finito come prototipo, una nuova nozione di un ipergruppo reversibileH e introdotta che prende nota dei gradi e delle molteplicita. Molte proprieta dei gruppi finiti abeliani hanno analogie con gli ipergruppi reversibili.
McMullen, J. R., Price, J. F.
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Commutative hypergroups associated with arbitrary hypergroups

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract Some classes of commutative hypergroups are associated with an arbitrary hypergroup.
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Jackson’s inequalities in Laguerre hypergroup

Journal of Pseudo-Differential Operators and Applications, 2022
O. Tyr, R. Daher
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Generalization ofP-hypergroups

Rendiconti del Circolo Matematico di Palermo, 1987
A hypergroup, in the sense of Marty (1934), is a set H equipped with an associative hyperoperation \(\cdot: H\times H\to P(H)\) which satisfies the property that \(xH=Hx=H\), for all \(x\in H\). We consider hypergroups constructed from ordinary semigroups which generalizes the notion of P- hypergroups introduced by the author [Acta Univ.
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