Harmonic analysis occupies a central position in modern mathematical analysis by providing the tools to express complex functions as superpositions of simpler sinusoidal components via the Fourier ...

Fourier transforms turn complex signals into their frequency components, revealing hidden patterns and simplifying analysis. From classic signal processing to cutting-edge quantum computing, they ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording the diffraction patterns formed by shining a laser beam through it. At the ...

A new method developed at LMU overcomes fundamental resolution limits and may provide insights into high-temperature superconductivity. The physicist Dr. Sebastian Paeckel has developed a method that ...