  The purpose of this paper is to join two different threads of the recent
literature on random fields on the sphere, namely the statistical analysis of
higher order angular power spectra on one hand, and the construction of
second-generation wavelets on the sphere on the other. To this aim, we
introduce the needlets bispectrum and we derive a number of convergence
results. Here, the limit theory is developed in the high resolution sense. The
leading motivation of these results is the need for statistical procedures for
searching non-Gaussianity in Cosmic Microwave Background radiation.
