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Indefinite metric and scattering by a domain with a small hole

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Publication:1922317
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DOI10.1007/BF02304886zbMath0857.47005MaRDI QIDQ1922317

Igor Yu. Popov, Alexander Kiselev

Publication date: 28 August 1996

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

selfadjoint extensions of symmetric operatorsspace with indefinite metrictwo-dimensional problemsplane waves scattered by a domain with a small hole


Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Scattering theory of linear operators (47A40) Linear operators on spaces with an indefinite metric (47B50)


Related Items (1)

A benchmark solution for 2D Stokes flow over cavity




Cites Work

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  • The resonator with narrow slit and the model based on the operator extensions theory
  • On the Lee model
  • Periodic Sigma Functions
  • Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)




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