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Harmonic inpainting of the cosmic microwave background sky: Formulation and error estimate

Harmonic inpainting of the cosmic microwave background sky: Formulation and error estimate

We develop a new interpolation scheme, based on harmonic inpainting, for reconstructing the cosmic microwave backgroundtemperature data within the Galaxy mask from the data outside the mask. We find that, for scale-invariant isotropic random Gaussian fluctuations, the developed algorithm reduces the errors in the reconstructed map for the odd-parity modes …