15 citations · 15 across the 7 of their papers we have counts for
9 papers
Harmonic Analysis of some arithmetical functions
Roger Gay, Ahmed Sebbar
We study three functions which are power series in the variable , Dirichlet series in the variable and with coefficients given by arithmetical functions. A strong point is t…
Arithmetic and Analysis of the series
Roger Gay, Ahmed Sebbar
In this paper we connect a celebrated theorem of Nyman and Beurling on the equivalence between the Riemann hypothesis and the density of some functional space in to a…
Hadamard's variational formula and the energy-momentum tensor
Björn Gustafsson, Ahmed Sebbar
The Hadamard variational formula for the Green function is formulated in terms of a polarized energy-momentum tensor and a strain tensor. This is elaborated in a general setting of…
Representation Theory and Differential Equations
Ahmed Sebbar, Oumar Wone
We study the geometry and partial differential equations arising from the consideration of group-determinants, and representation theory. The simplest and most striking such exampl…
Geometric Methods in Partial Differential Equations
Ahmed Sebbar, Daniele Struppa, Oumar Wone
We study the interplay between geometry and partial differential equations. We show how the fundamental ideas we use require the ability to correctly calculate the dimensions of sp…
Frobenius determinants and Bessel Functions
Ahmed Sebbar, Oumar Wone
We study the geometry and partial differential equations arising from the consideration of Frobenius determinants, also called-group-determinants. This leads us to address some asp…