most citedAbstract Harmonic Analysis on Spacetime

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.CA2016

Plancherel Theorem on the Symplectic Group SP(4,R)

Kahar El-Hussein

Let H be the 15- dimensional connected semisimple Lie group with its Iwasawa decomposition of H. Let G be the group of the semi direct product of H and the four dimensional real ve…

math-ph2016

Abstract Harmonic Analysis On the non Singular Matrix Lie Group

Kahar El-Hussein

As well known that it is no way to do the abstract harmonic analysis on the non connected Lie groups. The goal of this paper is to draw the attention of Mathematicians to solve thi…

math.RT2016

Plancherel Theorem and the Left Ideals of the Group Algebra for the Jacobi Group

Kahar El-Hussein

Let G be the three dimensional connected real semisimple Lie group and let KAN be the Iwasawa decomposition of G.Let J be the Jacobi group, which is the semidirect product of the t…

math.RT2014

Abstract Harmonic Analysis on the General Affine Group GA(n,R)

Kahar El-Hussein

The general linear group has two components and its the identity component, which consists of the real matrices with positive determinant and the set of all matrices with negative…

math.RT2014

Abstract Harmonic Analysis on the General Linear Group GL(n,R)

Kahar El-Hussein

Consider the general linear group, which is not connected but rather has two connected components, the matrices with positive determinant and the ones with negative determinant. Co…

math-ph2014★ 1 cited

Abstract Harmonic Analysis on Spacetime

Kahar El-Hussein

In this paper, we consider the Poincare group (space time). In mathematics, the Poincaré group of spacetime, named after Henri Poincaré, is the group of isometries of Minkowski spa…