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 ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

This is a preview. Log in through your library . Abstract The problem of reconstructing a piecewise constant function from a finite number of its Fourier coefficients perturbed by noise is considered.