  We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of
the algebra of functions on $\mathbb{R}^3$ which yields a foliation of
$\mathbb{R}^3$ into fuzzy spheres. We first review the construction of a
natural matrix basis adapted to $\mathbb{R}^3_\lambda$. We thus consider the
problem of defining a new Laplacian operator for the deformed algebra. We
propose an operator which is not of Jacobi type. The implication for field
theory of the new Laplacian is briefly discussed.
