Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about ...

The Fourier transform underpins so much of our technological lives, in most cases probably without our realising it. The ability to mathematically split a waveform into its frequency components and ...

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 article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

This is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny little JPG files, and even powering your noise ...

THIS article suggests that Walsh functions 1–3 might be used in transform Spectroscopy 4–6 to replace the sinusoidal functions appearing in the Fourier transform. We think this might be the case ...

We give an n-dimensional weighted Fourier inequality which is equivalent to the Ap-condition of Muckenhoupt for radially non-decreasing weights. This result is obtained by interpolation from a ...