Every non-zero complex homomorphism of the almost periodic functions on an abelian group is induced by the Fourier transform. A Plancherel formula for almost periodic functions and a necessary ...

Daniel Waterman, Fourier Series of Functions of $\Lambda$-Bounded Variation, Proceedings of the American Mathematical Society, Vol. 74, No. 1 (Apr., 1979), pp. 119-123 ...

THE theory of functions of a real variable is a subject of fairly recent date and is necessarily expanding as new theorems are discovered and fresh generalisations effected. On the other hand, the ...