  The study of spherical harmonics in superspace, introduced in [J. Phys. A:
Math. Theor. 40 (2007) 7193-7212], is further elaborated. A detailed
description of spherical harmonics of degree k is given in terms of bosonic and
fermionic pieces, which also determines the irreducible pieces under the action
of SO(m) x Sp(2n). In the second part of the paper, this decomposition is used
to describe all possible integrations over the supersphere. It is then shown
that only one possibility yields the orthogonality of spherical harmonics of
different degree. This is the so-called Pizzetti-integral of which it was shown
in [J. Phys. A: Math. Theor. 40 (2007) 7193-7212] that it leads to the Berezin
integral.
