Bayesian deconvolution of a rotating spectral line profile to a non-rotating one

Abstract In this work we present a Bayesian approach to obtain the non-rotating stellar spectra from an observed spectrum of a rotating star. This is our first attempt to solve an inverse problem expressed in terms of a Fredholm integral. Our preliminary results with synthetic spectra are promising. More studies are required to compare our Bayesian approach with the standard method for real spectra.