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 ...

In this paper we offer a method for constructing functions with many gaps in their supports and in the supports of their Fourier transform. As a result we answer a question of Benedicks [Ben1] and we ...

Fourier transforms are one of the most important algorithms in math, and help our electronics handle visual and audio signals in a sophisticated way.