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Fig. 2

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Cartoon illustrating a three-point correlation (0 – 1 – 2) with different scales s1 on the side (0 – 1) and s2 on the side (0 – 2). Integration over spherical shells K1 and K2 is equivalent to counting all possible triangles that have one vertex at point 0 and the other two anywhere on the spheres. For the calculation of , the kernels are uniformly populated, while for the evaluation of the Legendre expansion coefficients they are populated with the values of . The values of mi are scanned from −li to +li, resulting in 2(2l + 1) convolutions for each value of l, since both real and imaginary parts of Ylm must be used.

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