Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds

We establish results on holomorphic extension of CR-mappings of class $C^{\mathrm{\infty }}$ between a real-analytic CR-submanifold of ${\text{C}}^N$ and a real-algebraic CR-submanifold of ${\text{C}}^{N^{\mathrm{\prime }}}$.