“…Then, by making use of the method of oscillating test functions, introduced by L. Tartar in [17], by applying some results obtained by A. Gaudiello, B. Gustafsson, C. Lefter and J. Mossino in [6] and [7] and by adapting the techniques used by M. Vanninathan in [16], we derive the limit eigenvalue problem and the limit of the rescaled basis, as n → +∞, in the case h n ≃ r For the study of thin multi-structures we refer to [2], [3], [4], [11], [12], [13], [14] and the references quoted therein. For a thin multi-structure as considered in this paper, we refer to [5], [6], [7], [8], [9] and [10]. For the study of the spectrum of the Laplace operator in a thin tube with a Dirichlet condition on its boundary we refer to [1].…”