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In this letter we propose an approach to obtain solutions for the nonlocalnonlinear Schr\"{o}dinger hierarchy from the known ones of theAblowitz-Kaup-Newell-Segur hierarchy by reduction. These solutions arepresented in terms of double Wronskian and some of them are new.The approach isgeneral and can be used for other systems with double Wronskian solutions whichadmit local and nonlocal reductions.

Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction