An n-dimensional representation for the Dirac delta "function"
Edgardo S. Cheb-Terrab
Waterloo Maple Inc
Theoretical Physics Department, UERJ - Brazil
Centre for Experimental and Constructive Mathematics
The Dirac "function", actually a distribution, is implemented in Maple as a
function of one variable, delta(x);. In typical applications, however, we need
an n-dimensional representation for it, where
`@@`(delta,n)([x, x, ..., x[k]]) = delta(x)*delta(x)*...*delta(x[k]).
We also need a representation for the n-dimensional partial derivative of this
more general Dirac function as well as expansion, combination, simplification,
fourier transformation and mainly integration related procedures. These routines
were developed and the idea is to integrate the set into a future release of the