Spectral properties of the diffraction problem for a thin screen

DOI10.1007/BF00971459zbMath0582.35118MaRDI QIDQ1069068

P. E. Berkhin

Publication date: 1984

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

zbMATH Keywords

spectral propertiesroot functionsFourier methoddistribution of eigenvaluesdiffraction problemAbel's summationBari basis with bracketsimpedance-type boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Diffraction, scattering (78A45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Abel, Borel and power series methods (40G10)

Related Items

Spectral properties of the diffraction problem for a thin screen

Cites Work

• Weyl's formula in the spectral theory of automorphic functions
• Spectral properties of the diffraction problem for a thin screen
• Comportement asymptotique des valeurs propres pour une classe d'opérateurs elliptiques dégénérées
• Comportement asymptotique du noyau de la resolvante et des valeurs propres d'une classe d'opérateurs elliptiques dégénérées non necessairement auto-adjoint
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