When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording ...

Let f(u) be the Fourier-Stieltjes transform of a real or complex-valued function F(α) of bounded variation on (— ∞, ∞). It is shown that if f(u) belongs to L2 on an interval of infinite range, then ...

The Fast Fourier Transform allows computers to take complex signals and break them into their underlying frequencies. This single idea makes it possible to analyze sound, images, radio waves, and even ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...