The measure algebras of the title are those which are also hypergroups with some regularity conditions, Examples include the convolutions associated with Jacobi polynomial series and Fourier Bessel series, It is shown here that there is a one-to-one correspondence between these hypergroups and a class of Sturm-Liouville problems which have the characters of the hypergroup as eigenfunctions, The...

We first explain the historical and logical relations of hyperstructures introduced by M. Krasner and R. Rota, and generalized by T. Vougiouklis. Then, with our new algorithm based on our previous results on hypergroups and H v-groups of order 2, 3 and 4, we enumerate hyperrings and H v-rings. More precisely, we found 63 hyperrings of order 2, 875 H v-rings of order 2 and 33,277,642 hyperrings ...

in this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of marty. on theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. we define thefundamental relation β* on an n-ary hypergroup h as the smallest equivalence relation such tha...

This paper is written in the framework of Special Issue Mathematics entitled “Hypercompositional Algebra and Applications”, focuses on presentation essential principles hypergroup, which prominent structure hypercompositional algebra. In beginning, it reveals structural relation between two fundamental entities abstract algebra, group hypergroup. Next, presents several types hypergroups, derive...

It has been shown in "On the Hausdorff-Young theorem for commutative hypergroups" by Sina Degenfeld-Schonburg, that one can extend domain of Fourier transform a hypergroup $K$ to $L^p(K)$ $1\leq p \leq 2$, and inequality holds true these cases. In this article, we examine structure non-zero functions which equality is attained inequality, $1<p<2$, further provide characterization basic uncertai...