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 ...

Some of the series we have looked at have had clear annual cycles, returning to high levels in the same month every year. In our analysis of such processes we have tried to model the mean as a ...

Joseph Fourier, born just 250 years ago, introduced a wonderful idea that revolutionised science and mathematics: any function or signal can be broken down into simple periodic sine-waves. Radio waves ...

In this video from PyData Seattle 2015, William Cox from Distil Networks presents: An Intuitive Introduction to the Fourier Transform and FFT. The “fast fourier transform” (FFT) algorithm is a ...