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 ...

Harmonic analysis of differential equations lies at the nexus of Fourier analysis and the theory of partial differential equations. It employs frequency‐space decompositions to reveal fine‐scale ...

March 21 marks the 250th birthday of one of the most influential mathematicians in history. He accompanied Napoleon on his expedition to Egypt, revolutionized science’s understanding of heat transfer, ...

Pseudo-differential operator theory on Lie groups extends classical symbol calculus from Euclidean spaces to settings with underlying noncommutative geometry. At its core is the assignment of an ...