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Though Fourier Transforms (FTs) are a common technique for findingcorrelation functions, they are not typically used in computations of theanisotropy of the two-point correlation function (2PCF) about the line of sightin wide-angle surveys because the line-of-sight direction is not constant onthe Cartesian grid. Here we show how FTs can be used to compute the multipolemoments of the anisotropic 2PCF. We also show how FTs can be used to acceleratethe 3PCF algorithm of Slepian & Eisenstein (2015). In both cases, these FTmethods allow one to avoid the computational cost of pair counting, whichscales as the square of the number density of objects in the survey. With theupcoming large datasets of DESI, Euclid, and LSST, FT techniques will thereforeoffer an important complement to simple pair or triplet counts.

Accelerating the 2-point and 3-point galaxy correlation functions using Fourier transforms