The Weyl calculus with locally temperate metric and weights

DOI10.1007/BF02384389zbMath0621.47045MaRDI QIDQ1089895

Niels Dencker

Publication date: 1986

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

asymptotic distribution of eigenvaluestrace class normWeyl formulaHilbert-Schmidt norm\(L^ 2\)-continuityhigher order micro-localizationsnon-temperate symbolsNon-temperature metricsWeyl calculus of \textit{L. Hörmander}

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (6)

Heat-kernel expansion on noncompact domains and a generalized zeta-function regularization procedure ⋮ Résonances en limite semi-classique ⋮ Sharp propagation estimates for \(N\)-particle systems ⋮ Schatten-von Neumann properties in the Weyl calculus, and calculus of metrics on symplectic vector spaces ⋮ Quantification asymptotique et microlocalisations d'ordre supérieur. I ⋮ Weyl formula for hypoelliptic operators of Schrödinger type

Cites Work

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• On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\)
• A general calculus of pseudodifferential operators
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
• The weyl calculus of pseudo-differential operators
• Spatially inhomogeneous pseudodifferential operators, I
• Spatially inhomogeneous pseudodifferential operators, II

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