Nonselfadjoint operators in diffraction and scattering

DOI10.1002/mma.1670020307zbMath0437.47007OpenAlexW2163217669MaRDI QIDQ3878233

Alexander G. Ramm

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/50168

zbMATH Keywords

scatteringdiffractionnonselfadjoint operators

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Perturbation theory of linear operators (47A55) Equations and inequalities involving linear operators, with vector unknowns (47A50) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (5)

On the basis property for the root vectors of some nonselfadjoint operators ⋮ Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM) ⋮ Perturbation of resonances ⋮ SOME RESULTS ON INVERSE SCATTERING ⋮ On some properties of solutions of Helmholtz equation

Cites Work

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• On the basis property for the root vectors of some nonselfadjoint operators
• Asymptotic properties of solutions to some three-dimensional wave problems
• A logarithmic bound on the location of the poles of the scattering matrix
• Simple poles of operator-valued functions
• ON EXTERIOR ELLIPTIC PROBLEMS POLYNOMIALLY DEPENDING ON A SPECTRAL PARAMETER, AND THE ASYMPTOTIC BEHAVIOR FOR LARGE TIME OF SOLUTIONS OF NONSTATIONARY PROBLEMS
• Decaying modes for the wave equation in the exterior of an obstacle
• ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS
• ON EIGENFUNCTIONS OF AN OPERATOR CORRESPONDING TO THE POLES OF THE ANALYTIC CONTINUATION OF THE RESOLVENT THROUGH THE CONTINUOUS SPECTRUM

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