A Generalization of the Cartan- Brauer-hua Theorem

The Cartan-brauer-hua Theorem for Matrix and Local Matrix Rings

On the Geometry of Field Extensions

We investigate the spread arising from a field extension and its chains. The major tool in this paper is the concept of transversal lines of a chain which is closely related with the Cartan-Brauer-Hua theorem. Provided that one chain has a "sufficiently large" number of such lines, both this chain as well as the given spread permit a simple geometric description by means of collineations.

On the Semi-simplicity of the Cyclotomic Brauer Algebras

In this paper, a criterion on the semi-simplicity of the cyclotomic Brauer algebras is given. This result can be considered as a generalization of Wenzl’s theorem on Brauer algebras [27], which was known as Hanlon-Wales conjecture before.

Generalization of Titchmarsh's Theorem for the Dunkl Transform

Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the ('; p)-Dunkl Lipschitz condition in the space Lp(Rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.

GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$

In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.