Second degree polynomials and the fundamental theorems of harmonic analysis

[摘要] The concept of a second degree polynomial with nonzero subdegree is investigatedfor 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.

[学科分类] 数学（综合）