Profile of the kernels used for our accuracy tests. Left panel: we show the pixel space representation of a Gaussian kernel with 6′ (solid line) and 1° FWHM (dashed line). The vertical lines indicate the angle beyond which the kernel is truncated. Right panel: legendre expansion of the kernels (solid line: 6′ FWHM, dashed line: 1° FWHM). Kernels that are compact in pixel space cover a wide range of modes in spherical harmonic space and vice versa.
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