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Transmission eigenvalues for multipoint scatterers

Abstract : We study the transmission eigenvalues for the multipoint scatterers of the Bethe-Peierls-Fermi-Zeldovich-Beresin-Faddeev type in dimensions d = 2 and d = 3. We show that for these scatterers: 1) each positive energy E is a transmission eigenvalue (in the strong sense) of infinite multiplicity; 2) each complex E is an interior transmission eigenvalue of infinite multiplicity. The case of dimension d = 1 is also discussed.
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https://hal.archives-ouvertes.fr/hal-03326122
Contributor : Roman Novikov Connect in order to contact the contributor
Submitted on : Wednesday, August 25, 2021 - 4:05:46 PM
Last modification on : Tuesday, August 31, 2021 - 3:27:10 AM

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  • HAL Id : hal-03326122, version 1

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Piotr Grinevich, Roman Novikov. Transmission eigenvalues for multipoint scatterers. 2021. ⟨hal-03326122⟩

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