II: Singular Schwartz Distributions

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 singular Schwartz distributions can be
represented within that same structure, so long as one defines the
limits involved in an appropriate way. In that previous paper it was
shown that essentially all integrable real functions can be represented
within the complex-analytic structure. The infinite collection of
singular objects which we analyze here can thus be represented side by
side with those real functions, thus allowing all these objects to be
treated in a unified way.

- Introduction

- The Dirac Delta ``Function''
- Derivatives of the Delta ``Function''
- Piecewise Polynomial Functions
- Products of Distributions
- Conclusions and Outlook
- Acknowledgments
- Bibliography