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SHOTA FUKUSHIMA,YONG-GWAN JI,강현배,YOSHIHISA MIYANISHI 한국산업응용수학회 2023 Journal of the Korean Society for Industrial and A Vol.27 No.2
This is a review paper on recent development on the spectral theory of the Neumann-Poincare operator. The topics to be covered are convergence rate of eigenvalues of the Neumann-Poincare operator and surface localization of the single layer potentials of its eigenfunctions. Study on these topics is motivated by their relations with the cloaking by anomalous localized resonance. We review on this topic as well.