A locally compact group G is discrete if and only the Fourier algebra A(G) has a non-zero (weakly) multiplier. We partially extend this result to setting of ultraspherical hypergroups. Let H be an hypergroup let A(H) denote corresponding algebra. will give several characterizations discreteness in terms algebraic properties A(H). also study Arens regularity closed ideals

In this paper, we derive explicit product formulas and positive convolution structures for three continuous classes of Heckman-Opdam hypergeometric functions of type BC. For specific discrete series of multiplicities these hypergeometric functions occur as the spherical functions of non-compact Grassmann manifolds G/K over one of the (skew) fields F = R,C,H. We write the product formula of thes...

The main tools in the theory of n-ary hyperstructures are the fundamental relations. The fundamental relation on an n-ary hypersemigroup is defined as the smallest equivalence relation so that the quotient would be the n-ary semigroup. In this paper we study neutral elements in n-ary hypersemigroups and introduce a new strongly compatible equivalence relation on an n-ary hypersemigroup so that ...

The problem of Dynamic Job Shop (DJS) scheduling is one of the most complex problems of machine scheduling. This problem is one of NP-Hard problems for solving which numerous heuristic and metaheuristic methods have so far been presented. Genetic Algorithms (GA) are one of these methods which are successfully applied to these problems. In these approaches, of course, better quality of solutions...

word count: 198 text word count: 5414 Acknowledgments: We thank Dr. Stephanie Hiss (University of Bonn, Germany) for bovine Hp determination. Supported by the Foundation for Research at the Medical Faculty, University of Zurich (DS) and by the Hartmann-Muller Foundation (DS). Contributions: DJS: designed and performed research, wrote the paper; CAS: performed research; PWB: performed research; ...

The performance of electronica by Disc Jockys (DJs) presents a unique opportunity to develop interactions between performer and music. Through recent research in the MIR field, new tools for expanding DJ performance are emerging. The use of spectral, loudness, and temporal descriptors for the classification of electronica is explored. Our research also introduces the use of a multitouch interfa...

The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a nontrivial hypergroup. Finally we study the connections between categories of hypergroups and groups via the fundam...

Group recommendation aims to recommend items a group of users. In this work, we study in particular scenario, namely occasional recommendation, where groups are formed ad hoc and users may just constitute for the first time—that is, historical group-item interaction records highly limited. Most state-of-the-art works have addressed challenge by aggregating members’ personal preferences learn re...