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arxiv: 1307.4863 · v1 · pith:E47XIMRNnew · submitted 2013-07-18 · 🧮 math.SP

Completeness of generalized transmission eigenstates

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keywords completenesseigenstatesgeneralizedtransmissionacousticagranovichellipticityequations
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We prove the completeness of the generalized (interior) transmission eigenstates for the acoustic and Schr\"odinger equations. The method uses the ellipticity theory of Agranovich and Vishik.

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