techniques involved, which have applications in a broad spectrum of mathematics, ranging from analysis to

sums that we call lateral Landau sums. These sums also give a spectrum of numbers that we speculate are

-called projective spectra - were considered. The concept of an inverse spectrum in its present form was first

inversion formula, the spectrum can be represented by the structure function. In this dissertation, we first

and interpret these generalised characters in the Ziegler Spectrum. We also find our techniques useful