Approximate methods of global harmonic spherical analysis of potential fields

In the paper the algorithm of definition of Fourier coefficients in decomposition of potential fields on spherical functions. The potential fields are known by its values on a non-uniform grid of units, given in some part of the Earth surface. The method is based on the Bernshtein multinomials using for continuation of potential fields on all surface of the Earth and subsequent application of the cubature formulas.