Left: the magnetic autocorrelation ω(r) in position space for a typical magnetic power spectrum reconstruction for the cool core in the Hydra A cluster using seven spectral bins. The negative part of ω(r) is dotted. Right: the counterpart in Fourier space ω(k). The parameterisation can adopt any shape permitted by the seven basis functions seen as wiggles in the power spectrum. The parameters θ = 45° and α = 1 were assumed, with θ described in Sect. 4.2 and α introduced in Eq. (17).
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