In this paper we consider the conformal group of the unit sphere S, the proper Lorentz group Spin(1, n), for the study of spherical continuous wavelet transforms. The parameter space is determined by the factorization of the gyrogroup of the unit ball by an appropriate gyro-subgroup. We study two families of sections that give rise to anisotropic conformal dilation operators for the unit sphere...

In this paper, we have studied the properties of associated gyrogroup °G a given group G nilpotency class 3. We proved that if 3 does not divide order G, then ni...

In this study, we investigate Hamiltonian cycles in the right-Cayley graphs of gyrogroups. More specifically, give a gyrogroup version factor group lemma and show that some certain gyrogroups are Hamiltonian.

A space X is submaximal if any dense subset of open. In this paper, we prove that every topological gyrogroup non-measurable cardinality strongly ?-discrete. Moreover, hereditarily paracompact.

The concept of topological gyrogroups is a generalization group. In this work, ones prove that gyrogroup G metrizable iff has an {\omega}{\omega}-base and Frechet-Urysohn. Moreover, in gyrogroups, every (countably, sequentially) compact subset being strictly (strongly) Frechet-Urysohn having are all weakly three-space properties with H closed L-subgyrogroup

We show that the algebra of the group SL(2; C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the Lorentz group and its underlying hyperbolic geometry. The superiority of the use of the gyrogroup formalism over the use of theSL(2; C) formalism for dealing with the Lorentz group in some cases is indicated by (i) the validity of gyrogroups and gyrovector spaces...

in this paper, we consider a generalization of the real normed spaces and give some examples.

We consider in this paper two different types of the weighted geometric means positive definite operators. show component-wise bijection these and give a property spectral mean as metric midpoint. Moreover, several interesting inequalities related with operators will be shown. also see meaning gyrogroup structure finite dimension find formulas 2-by-2 matrices density matrices.