arXiv subjects

Miloud Assal

Publications and source records attributed to Miloud Assal.

2 recordsLinked to original sources

arXiv2019

A New Ring Theory Approach For Solving Cauchy-Euler differential Equations of Several Variables

In this article, we present an innovative method to find particular solutions of the non-homogeneous Cauchy-Euler equations in several variables and Sturm-Liouville equations. The method is basically built on the application of the ponderation ring which introduced by Assal and Zeyada [2].

math.CA↗

arXiv2019

Modules Over the Ring of Ponderation functions with Applications to a Class of Integral Operators

In this paper we introduce new modules over the ring of ponderation functions, so we recover old results in harmonic analysis from the side of ring theory. Moreover, we prove that Laplace transform, Fourier transform and Hankel transform generate some kind of modules over the ring of ponderation functions.

math.RA↗