The functional model of a j-unitary node with a given j-inner characteristic matrix function

The known model of aj-unitary node with a givenj-inner characteristic matrix functionW is obtained from the known model of a unitary node with a given bi-inner characteristic matrix functionS, using the Potapov-Ginzburg transforms of the nodes and their characteristic functionsW andS. We show that some new properties of the L. de Branges reproducing kernal Hilbert spaces(W) which were discovered by H. Dym are characteristic properties of these spaces.