  In this paper, aliasing effects are investigated for random fields defined on
the d-dimensional sphere and reconstructed from discrete samples. First, we
introduce the concept of an aliasing function on the sphere. The aliasing
function allows one to identify explicitly the aliases of a given harmonic
coefficient in the Fourier decomposition. Then, we exploit this tool to
establish the aliases of the harmonic coefficients approximated by means of the
quadrature procedure named spherical uniform sampling. Subsequently, we study
the consequences of the aliasing errors in the approximation of the angular
power spectrum of an isotropic random field, the harmonic decomposition of its
covariance function. Finally, we show that band-limited random fields are
aliases-free, under the assumption of a sufficiently large amount of nodes in
the quadrature rule.
