Abstract: We address a spectral problem for the Dirichlet-Laplace operator in a waveguide ????. ???? is obtained from repsilon an unbounded two-dimensional strip ?? which is periodically perforated by a family of holes, which are also periodically distributed along a line, the so-called "perforation string". We assume that the two periods are different, namely, O(1)O(1) and O(?)O(?) respectively, where 0

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