Error estimates for band-limited spherical regularization wavelets in an inverse problem of satellite geodesy

We discuss a special class of regularization methods for solving the expone ntially ill-posed satellite gravity gradiometry problem in a spherical fram ework based on band-limited spherical regularization wavelets. Considering such wavelets as a result of a combination of some regularization methods w ith Galerkin discretization based on the spherical harmonic system we obtai n the error estimates of regularized solutions as well as the estimates for regularization parameters and parameters of band-limitation.