## Proceedings of the 22nd Meeting of the Tunisian Mathematical Society

Published in Advances in Pure and Applied Mathematics

Published in Advances in Pure and Applied Mathematics

Published in Advances in Pure and Applied Mathematics

The problem of how to find a sparse representation of a signal is an important one in applied and computational harmonic analysis. It is closely related to the problem of how to reconstruct a sparse vector from its projection in a much lower-dimensional vector space. This is the setting of compressed sensing, where the projection is given by a matr...

Published in Advances in Pure and Applied Mathematics

Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences. In a former paper we studied some function classes on hypergroup joins which play a basic role in spectral synthesis. Moment functions are also important basic blocks o...

Published in Advances in Pure and Applied Mathematics

An explicit representation of the Green function of the Robin problem for the Poisson equation in the unit ball is given.

Published in Advances in Pure and Applied Mathematics

We study generalized quasi-Einstein manifolds, or briefly, GQE manifolds. Here, we present relations between the Bach, Cotton and D tensors on GQE manifolds. Next, a 3-tensor E which measures the deviation of m-quasi-Einstein manifolds from GQE manifolds is introduced. Among others in dimension 3, it is shown that Bach-flatness implies locally conf...

Published in Advances in Pure and Applied Mathematics

In this paper, we consider a Brück-type result for a homogeneous differential polynomial generated by a meromorphic function.

Published in Advances in Pure and Applied Mathematics

Alexandroff spaces are the topological spaces in which the intersection of arbitrary many open sets is open. Let T be an indecomposable tournament. In this paper, first, we associate a trivial topology to T. Then we define another topology on T, called the graphic topology of T, and we show that it is an Alexandroff topology. Our motivation is to i...

Published in Advances in Pure and Applied Mathematics

In this paper, we consider the Timoshenko-type system with nonlinear boundary dissipation. We prove the existence and uniqueness of the solution and we establish an explicit and general decay result for a wide class of the relaxation function, which depends on the length of the beam.

Published in Advances in Pure and Applied Mathematics

In this article, we correct the proof of the main theorem of Gordji’s paper [M. Eshaghi Gordji, n-Jordan homomorphisms, Bull. Aust. Math. Soc. 80 2009, 1, 159–164] by a different method and generalize Zelazko’s theorem to 4-Jordan homomorphisms by considering an extra condition.

Published in Advances in Pure and Applied Mathematics

In the present paper, it is shown that if a prime ring R admits a generalized derivation f associated with a nonzero derivation d such that either f ( [ x m , y n ] ) + [ x m , y n ] ∈ Z ( R ) for all x , y ∈ R f([x^{m},y^{n}])+[x^{m},y^{n}]\in Z(R)\quad\text{for all }x,y\in R or f ( [ x m , y n ] ) - [ x m , y n ] ∈ Z ( R ) for all x ,...