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 ...

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 ...

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

Rapid, high-resolution, label-free Fourier-transform infrared imaging of biological samples is made possible by combining multiple synchrotron beams with wide-field detection.