Reconstruction of densities from Compton profiles with applying Jacobi   polynomials
  The advent of synchrotron sources has led to an increasing availability of high resolution Compton Profiles J(pz) and a consequent renewed interest in the reconstruction of the corresponding full momentum densities rho(p).   We present results of applying a new method in which the radial parts of rho(p) and the measured profiles are expressed in terms of Jacobi polynomials. The technique is demonstrated using model projections that correspond to Mg and Gd spectra. Reconstructed densities, being in very good agreement with model ones, are a very good performance of our new reconstruction algorithm. 
G. Kontrym-Sznajd, M. Samsel, R.N. West