  It turns out that harmonic analysis on the superspace R^{m|2n} is quite
parallel to the classical theory on the Euclidean space R^{m} unless the
superdimension M:=m-2n is even and non-positive. The underlying symmetry is
given by the orthosymplectic superalgebra osp(m|2n). In this paper, when the
symmetry is reduced to osp(m-1|2n) we describe explicitly the corresponding
branching laws for spherical harmonics on R^{m|2n} also in exceptional cases.
In unexceptional cases, these branching laws are well-known and quite analogous
as in the Euclidean framework.
