Abstract In this paper we consider generalized Hardy spaces in the octonionic setting associated to arbitrary Lipschitz domains where unit normal field exists almost everywhere. First discuss some basic properties and explain structural differences associative Clifford analysis setting. The non-associativity requires special attention definition of an appropriate inner product hence a Szegö pro...

The numerical solution of fractional-order elliptic problems is investigated in bounded domains. According to real-life situations, we assumed inhomogeneous boundary terms, while the underlying equations contain full-space fractional Laplacian operator. basis convergence analysis for a lower-order element approximation theory corresponding continuous problem. In particular, need continuity resu...

In the case of linear operator property P(B, k) was introduced by M.A. Kaashoek. this paper, we characterize essentially semi regular relation in terms k). After that and as an application result give some connection between relations. Further, will supplementary conditions on to be Fredholm. Then, analyze stability class relations under small perturbations Riesz operators. Finally, study prope...

Let B be a unital commutative semi-simple Banach algebra. We study endomorphisms of B which are simultaneously Riesz operators. Clearly compact and power compact endomorphisms are Riesz. Several general theorems about Riesz endomorphisms are proved, and these results are then applied to the question of when Riesz endomorphisms of certain algebras are necessarily power compact.

In this paper, by combining of fractional centered difference approach with alternating direction implicit method, we introduce a mixed method for solving two-dimensional Riesz space advection-dispersion equation. The proposed is fourth order operator in spatial directions and second Crank-Nicolson temporal direction. By reviewing the consistency stability convergen...

In this article, a family of continuous functions on the unit sphere $$S\subseteq {\mathbb {R}}^{3}$$ is considered as generalization spherical harmonics. The fractalized using linear and bounded operator sphere. Particular values scale vector in iterated function system (IFS) may yield classical We have shown that for different IFS, Bessel sequences, frames, Riesz bases can be established spac...

We generalize the Fej\'er-Riesz operator systems defined for circle group by Connes and van Suijlekom to setting of compact matrix quantum groups their ergodic actions on C*-algebras. These truncations form filtrations containing C*-algebra. show that when they C*-algebra are equipped with suitable metrics, then under conditions converge Gromov-Hausdorff distance. Among other examples, our resu...