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Second degree polynomials and the fundamental theorems of harmonic analysis

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  • Kelly McKennon

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.

Suggested Citation

  • Kelly McKennon, 1982. "Second degree polynomials and the fundamental theorems of harmonic analysis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 5, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:896306
    DOI: 10.1155/S016117128200043X
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