International Journal of Mathematics and Mathematical Sciences 
Volume 5 (1982), Issue 3, Pages 441-457
doi:10.1155/S016117128200043X

Second degree polynomials and the fundamental theorems of harmonic analysis

Kelly McKennon

 Department of Pure and Applied Mathematics, Washington State University, Pullman 99164, Washington, USA
Received 11 September 1981

Abstract

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.