Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...
Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...
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 ...