  I show that the projective Schur functions may be interpreted as bispherical
functions of either the triple (q(n),gl(n,n),q(n)), where q(n) is the "odd"
(queer) analog of the general liner Lie algebra, or the triple
(p(n),gl(n,n),p(n)), where p(n) is the periplectic Lie superalgebra which
preserves the nondegenerate odd, bilinear form (either symmetric or skew
symmetric). Making use of this interpretation I characterize projective Schur
functions as common eigenfunctions of an algebra differential operators.
