Artículos de revistas
On the Hilbert transform in the framework of generalized functions
Fecha
2013-08-02Registro en:
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, ABINGDON, v. 23, n. 8, supl. 4, Part 1-2, pp. 567-579, FEB, 2012
1065-2469
10.1080/10652469.2011.613381
Autor
Aragona, J.
Fernandez, R.
Panzarelli, H.
Institución
Resumen
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized functions is given. Similar results to some theorems that hold in the classical theory, or in certain subspaces of Schwartz distributions, have been obtained in this framework.