An analysis for the delta function with support on the light cone
The authors study the delta function delta ( zeta , zeta ), where zeta is a point in the Minkowski space and quantity ( zeta , zeta )=t2-x 21-x22-x23=t2-r2. This generalised function has its support on the light cone t+or-r=0, which has an interesting singularity at its vertex (0,0). They present the derivatives of the multilayers spread over this cone. Their analysis is facilitated by the interplay between the theory of distributions (generalised functions) and the theory of singular surfaces.
Publication Source (Journal or Book title)
Journal of Physics A: Mathematical and General
Estrada, R., & Kanwal, R. (1988). An analysis for the delta function with support on the light cone. Journal of Physics A: Mathematical and General, 21 (12), 2667-2675. https://doi.org/10.1088/0305-4470/21/12/011