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 ...

We study certain Hilbert transforms and maximal functions along variable flat curves in the plane. We obtain their L 2 (R 2) boundedness by considering the oscillatory singular integrals which arise ...

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 ...