International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 3, Pages 441-457
Second degree polynomials and the fundamental theorems of harmonic analysis
Department of Pure and Applied Mathematics, Washington State University, Pullman 99164, Washington, USA
Received 11 September 1981
Copyright © 1982 Kelly McKennon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The concept of a second degree polynomial with nonzero subdegree is investigated
for Abelian groups, and it is shown how such polynomials can be exploited to produce elementary proofs for the Uniqueness Theorem and the Fourier Inversion Theorem in abstract harmonic analysis.