  Report II is concerned with the extended results of distance function
wavelets (DFW). The fractional DFW transforms are first addressed relating to
the fractal geometry and fractional derivative, and then, the discrete
Helmholtz-Fourier transform is briefly presented. The Green second identity may
be an alternative devise in developing the theoretical framework of the DFW
transform and series. The kernel solutions of the Winkler plate equation and
the Burger's equation are used to create the DFW transforms and series. Most
interestingly, it is found that the translation invariant monomial solutions of
the high-order Laplace equations can be used to make very simple harmonic
polynomial DFW series. In most cases of this study, solid mathematical analysis
is missing and results are obtained intuitively in the conjecture status.
