Results 51 to 60 of about 2,002 (136)
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
, 2014 We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
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Vague Soft Hypergroups and Vague Soft Hypergroup Homomorphism [PDF]
Advances in Fuzzy Systems, 2014 We introduce and develop the initial theory of vague soft hyperalgebra by introducing the novel concept of vague soft hypergroups, vague soft subhypergroups, and vague soft hypergroup homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Ganeshsree Selvachandran +1 more
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Dispersion and limit theorems for random walks associated with hypergeometric functions of type BC [PDF]
, 2016 The spherical functions of the noncompact Grassmann manifolds $G_{p,q}(\mathbb F)=G/K$ over the (skew-)fields $\mathbb F=\mathbb R, \mathbb C, \mathbb H$ with rank $q\ge1$ and dimension parameter $p>q$ can be described as Heckman-Opdam hypergeometric ...
Voit, Michael
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Operational calculus and integral transforms for groups with finite propagation speed [PDF]
, 2016 Let $A$ be the generator of a strongly continuous cosine family $(\cos (tA))_{t\in {\bf R}}$ on a complex Banach space $E$. The paper develops an operational calculus for integral transforms and functions of $A$ using the generalized harmonic analysis ...
Blower, Gordon, Doust, Ian
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Hypergroups Related to a Pair of Compact Hypergroups [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to ...
Heyer, H. +3 more
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Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, 2021 In this paper, we study the connection between topological spaces, hyperrings (semi-hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi-hypergroups.
Nabilah Abughazalah +2 more
doaj +1 more source
Cyclicity in EL–Hypergroups [PDF]
Symmetry, 2018 In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural ...
Michal Novák +2 more
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Advances in Mathematics, 2011 An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There
DELVAUX, Lydia, Van Daele, A.
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Transactions of the American Mathematical Society, 1978 This paper initiates a study of Z-hypergroups, that is, commutative topological hypergroups K such that K / Z K/Z is compact where Z denotes the maximum subgroup (equivalently, the center) of K.
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Amenability notions of hypergroups and some applications to locally compact groups
, 2016 Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras.
Alaghmandan, Mahmood
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