Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...
Fourier Restriction Theory investigates the conditions under which the Fourier transform of a function, when confined to a geometric surface such as a sphere, paraboloid or other manifold, remains ...
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 ...