The homotopy groups $\pi_k(\Omega_n(m))$, $k=1,...,n$

The paper continues the investigation of the spaces of complex-valued perfect splines $\Omega_n(m)$. These spaces were introduced as generalization of the spaces $\Omega_n$, the topology of which has been studied by V.I. Ruban, V.A. Koshcheev, A.M. Pasko. In our previous papers the homology groups of the spaces $\Omega_n(m)$ have been found and their simply connectedness was established. The topic of the paper is the homotopy groups $\pi_k(\Omega_n(m)), k=1,...,n$. They have been found using the homology groups of the spaces $\Omega_n(m)$, their simply connectedness and the Hurewicz isomorphism theorem.