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Discovered by us [1] special (permanent) resonance mechanism of spectral zonecreation in periodic structures is generalized to the case of discrete spacelattices and finite difference Schroedinger equation with local V(n) andminimally nonlocal U(n). It would be interesting to generalize the periodicityformalism to the multidiagonal finite-difference potentials.

Spreading of the conception of permanent resonance to wave motions over lattices