let $g$ be a locally compact group, $h$ be a compact subgroup of $g$ and $varpi$ be a representation of the homogeneous space $g/h$ on a hilbert space $mathcal h$. for $psi in l^p(g/h), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $l_{psi,zeta} $ on $mathcal h$ and we show that it is a bounded operator. moreover, we prove that the localizat...

In this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. We obtain the classes of admissible estimators. The result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized Laplace and other distributions.

Let $h$ be a harmonic function defined on spherical disk. It is shown that $\Delta ^k |h|^2$ nonnegative for all $k\in \mathbb {N}$ where $\Delta$ the Laplace-Beltrami operator. This fact generalized to functions disk in normal homogeneous compact Riemannian manifold, and particular symmetric space of type. complements similar property $\mathbb {R}^n$ discovered by first two authors related str...

The core inverse of matrix is generalized inverse which is in some sense in-between the group and Moore–Penrose inverse. In this paper a generalization of core inverse and core partial order to Hilbert space operator case is presented. Some properties are generalized and some new ones are proved. Connections with other generalized inverses are obtained. The useful matrix representations of oper...

and Applied Analysis 3 where θn 1 − αn Ln − 1 diamC 2 → 0 as n → ∞ and prove that {xn} defined by 1.5 converges strongly to P∩n 1F Tn x. In this paper, we establish strong convergence theorems for finding common fixed points of a countable family of Lipschitzian mappings in a real Hilbert space. Moreover, we also apply our results for asymptotically nonexpansive mappings. 2. Preliminaries Let H...

The construction of continuous shearlet transform has been extended to higher dimensions. It was generalized a group that is topologically isomorphic semidirect product locally compact groups. In this paper, by unified theoretical linear algebra approach the representation theory, class transforms obtained from quasi-regular presented. order develop such representation, we utilize homogeneous s...

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].

in this paper, we prove the generalized hyers-ulam(or hyers-ulam-rassias ) stability of the following composite functional equation f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) in various normed spaces.

in this paper, we investigate the generalizedhyers--ulam stability of the functional equation