Asymptotic expansion of the spectral function of elliptic operators in \({\mathbb{R}}^ n\)

DOI10.1007/BF01102997zbMath0713.47046OpenAlexW2013448076MaRDI QIDQ749858

Boris Vainberg

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01102997

zbMATH Keywords

asymptotic expansionrayspectral projectorSchwartz kernelfirst order matrix operatorMaslov' canonical operatornon-trapping conditionsecond order scalar operatorspectral function of a partial differential operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Cites Work

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• Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space
• Hadamard's method and the asymptotics of the spectral function of a second-order differential operator

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