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We present a fast algorithm for generating full sky, high resolution (\ 5') simulations of the CMB anisotropy pattern. We also discuss the inverse problem, that of evaluating from such a map the full set of a\ ₌'s and the spectral coefficients C_\. We show that using an Equidistant Cylindrical Projection of the sky substantially speeds up the calculations. Thus, generating and/or inverting a full sky, high resolution map can be easily achieved with present day computer technology.
Muciaccia et al. (Mon,) studied this question.
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