
| Fourier transforms |
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Fourier analysis is a branch ofanalysis that looks at how more complexfunctions can be built with simpler ones. It is also known asclassical harmonic analysis. It is named afterJoseph Fourier who first used it in the 19th century. The process itself is calledFourier transform. Fourier analysis is widely used in fields such asphysics,partial differential equations,number theory,combinatorics,signal processing, imaging,probability theory,statistics,option pricing,cryptography,numerical analysis,acoustics,oceanography,sonar,optics,diffraction,geometry andprotein structure analysis.