  Possibilities for defining the radial derivative of the delta distribution
$\delta(\underline{x})$ in the setting of spherical coordinates are explored.
This leads to the introduction of a new class of continuous linear functionals
similar to but different from the standard distributions. The radial derivative
of $\delta(\underline{x})$ then belongs to that new class of so-called
signumdistributions. It is shown that these signumdistributions obey
easy-to-handle calculus rules which are in accordance with those for the
standard distributions in $\mathbb{R}^m$.

Classical Analysis and ODEs;Functional Analysis