  The representation theory of symmetric Lie superalgebras and corresponding
spherical functions are studied in relation with the theory of the deformed
quantum Calogero-Moser systems. In the special case of symmetric pair
g=gl(n,2m), k=osp(n,2m) we establish a natural bijection between projective
covers of spherically typical irreducible g-modules and the finite dimensional
generalised eigenspaces of the algebra of Calogero-Moser integrals D_{n,m}
acting on the corresponding Laurent quasi-invariants A_{n,m}.
