Jorge L. deLyra1
Department of Mathematical Physics,
Physics Institute,
University of São Paulo
May 28, 2017
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.