Trace Properties of Some Highly Anisotropic Operators

DOI10.1112/jlms/s2-31.1.137zbMath0619.47006OpenAlexW2004319496MaRDI QIDQ3756012

Pl. Muthuramalingam, E. Brian Davies

Publication date: 1985

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-31.1.137

zbMATH Keywords

scattering theoryfunction spaceshighly anisotropic operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Scattering theory of linear operators (47A40)

Related Items (3)

On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian ⋮ A note on time dependent scattering theory for \(p^ 2_ 1-p^ 2_ 2+(1+| Q|)^{-1-\epsilon}\) and \(p_ 1p_ 2+(1+| Q|)^{-1-\epsilon}\) on \(L^ 2(R^ 2)\) ⋮ Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method

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