2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156618We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N=2 we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.24 pagesExactly Solvable and Integrable SystemsStatistical MechanicsMathematical Physicstext