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
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.