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In the framework of the semiclassical approach, we find the leading finite-size effects on the normalized structure constants in some three-point correlation functions in AdS_5 x S^5, expressed in terms of the conserved string angular momenta J_1, J_2, and the worldsheet momentum p_w, identified with the momentum p of the magnon excitations in the dual spin-chain arising in N=4 SYM in four dimensions.

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