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Abstract: In this work we study the asymptotic distribution of eigenvalues inone-dimensional open sets. The method of proof is rather elementary, based onthe Dirichlet lattice points problem, which enable us to consider sets withinfinite measure. Also, we derive some estimates for the the spectral countingfunction of the Laplace operator on unbounded two-dimensional domains.



Author: J. Fernandez Bonder, J.P. Pinasco, A.M. Salort

Source: https://arxiv.org/







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