2 citations · 2 across the 14 of their papers we have counts for
14 papers
Poisson semigroup and the Gruet formula for the heat kernels on spaces of constant curvature
Mohamed Vall Ould Moustapha
This paper is concerned with the Poisson and heat equations on spaces of constant curvature. More explicitly we provide new methods for obtaining old and new explicit formulas for…
Integral Formulas and asymptotic behavior of lattice points in complex hyperbolic space
Mohamed Vall Ould Moustapha
This paper deals with the -lattice points problem associated to a discrete subgroup of motions in the complex hyperbolic space . We give two integral formula…
An integral representation for the resolvent kernel with magnetic fields on the hyperbolic plane and applications to time dependent Schrödinger equations
Mohamed Vall Ould Moustapha
In this paper we give an integral representation for the resolvent kernels with uniform magnetic field on the hyperbolic plane, as applications of our results we solve explicitly t…
Wave kernels with magnetic field on the hyperbolic plane and with the Morse potential on the real line
Mohamed Vall Ould Moustapha
In this article we give explicit solutions for the wave equations associated to the modified Schrödinger operators with magnetic field on the disc and the upper half plane models o…
Bargmann transform and generalized heat Cauchy problems
Anouar Abdelmajid Saidi, Ahmed Yahya Mahmoud, Mohamed Vall Ould Moustapha
In this article we solve explicitly some Cauchy problems of the heat type attached to the generalized real and complex Dirac, Euler and Harmonic oscillator operators. Our principal…
An integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces
A. Intissar, M. V. Ould Moustapha, Z. Mouhcine
The main aim of the present paper is to establish an integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces. Moreo…
Wave kernel for the Schrodinger operator with a Liouville potential
Yehdhih Mohamed Abdelhaye, Badahi Mohamed, Mohamed Vall Ould Moustapha
In this note we give an explicit formula for the wave equation associated to the Schrodinger operator with a Liouville Potential with applications to the telegraph equation as well…
Wave Equations with three-inverse square potential on
Yehdhih Mohamed Abdelhaye, Badahi Mohamed, Mohamed Vall Ould Moustapha
In this note we give explicit solutions to the wave equation associated to the Schrödinger operator with three-inverse square potential on
Singular heat and wave equations on the Euclidien space
Mohamed Vall Ould Moustapha
In this paper we give the explicit formulas for the solution of the singular generalized heat and wave equations on the Euclidian space .
Multipliers with inverse square potential and applications I
Mohamed Vall Ould Moustapha
In this work we give explicit formulas for the Schwartz integral kernels of some multipliers of the Schrödinger operator with inverse square potential on . By using the…
Laplace equation for the Dirac, Euler and the harmonic oscillator
Ahmedou Yahya Ould Mohameden, Mohamed Vall Ould Moustapha
In this article, we give the explicit solutions to the Laplace equations associated to the Dirac operator, Euler operator and the harmonic oscillator in R.
Explicit solutions of Laplace equations with inverse square and and singular Pöschl-Teller Potentials
Mohamed Vall Ould Moustapha
In this article we give in analytical closed form the solutions of the Direchlet problems for the Laplace equations with inverse square and singular Pöschl-Teller potentials
An intertwining operator for the harmonic oscillator and the Dirac operator with application to the heat and wave kernels
Ahmedou Yahya ould Mohameden, Mohamed Vall Ould Moustapha
In this article an intertwining operator is constructed which transforms the harmonic oscillator to the Dirac operator (the first order derivative operator). We give also the expli…
Problème de Cauchy avec des conditions modifiées pour les équations d'Euler-Poisson-Darboux
Cheikh Ould Mohamed El-hafed, Mohamed Vall Ould Moustapha
Nowadays the Euler-Poisson-Darboux equation is extensively studied in several settings. The main questions on avery spaces are explicit solutions for the classical Cauchy problems…