Damping oscillatory integrals.
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen II.
Differential operators of gradient type associated with spherical harmonics
Dispersion Phenomena in Dunkl-Schrödinger Equation and Applications
2000 Mathematics Subject Classification: 35Q55,42B10.In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
Distributional boundary values and the tempered ultra-distributions
Divergence of the Bochner-Riesz means in the weighted Hardy spaces
We costruct functions in () whose Fourier integral expansions are almost everywhere non-summable with respect to the Bochner-Riesz means of the critical order.
Dunkl-Schrödinger Equations with and without Quadratic Potentials
2000 Mathematics Subject Classification: Primary 42A38. Secondary 42B10.The purpose of this paper is to study the dispersive properties of the solutions of the Dunkl-Schrödinger equation and their perturbations with potential. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems.