Reconstruction of the primordial power spectrum by direct inversion

We introduce a new method for reconstructing the primordial power spectrum, P(k), directly from observations of the Cosmic Microwave Background (CMB). We employ Singular Value Decomposition (SVD) to invert the radiation perturbation transfer function. The degeneracy of the multipole to wavenumber k linear mapping is thus reduced. This enables the inversion to be carried out at each point along a Monte Carlo Markov Chain (MCMC) exploration of the combined P(k) and cosmological parameter space. We present best-fit P(k) obtained with this method along with other cosmological parameters. Keywords->