  In the context of the complex-analytic structure within the unit disk
centered at the origin of the complex plane, that was presented in a previous
paper, we show that a certain class of non-integrable real functions can be
represented within that same structure. In previous papers it was shown that
essentially all integrable real functions, as well as all singular Schwartz
distributions, can be represented within that same complex-analytic structure.
The large class of non-integrable real functions which we analyze here can
therefore be represented side by side with those other real objects, thus
allowing all these objects to be treated in a unified way.
