in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.

the aim of this study was to compare the effects of three types of balancetraining: single task, dual task under fixed priority instructional set (fp) and dualtask under a variable priority instructional set (vp) on the balance of the elderly.the participants were 36 elderly over 65 years old from kerman province whowere randomly divided into three groups (each 12 subjects) based on burg pretes...

We consider the action on instanton moduli spaces of the non-local symmetries of the self-dual Yang–Mills equations on R discovered by Chau and coauthors. Beginning with the ADHM construction, we show that a sub-algebra of the symmetry algebra generates the tangent space to the instanton moduli space at each point. We explicitly find the subgroup of the symmetry group that preserves the one-ins...