Spectral Theory of Neumann-Poincar 'e Operator and Analysis of Plasmon Resonance

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  The Neumann-Poincar′e(NP)operator is a boundary integral operator which arises naturally when solving boundary value problems using layer potentials.It is not self-adjoint with the usual inner product.But it can symmetrized by introducing a new inner product using Plemelj's symmetrization principle.Recently many interesting properties of the NP operator have been discovered.I will discuss about this development and applications to plasmon resonance.
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