Complex powers of a class of pseudodifferential operators in \(R^ n\) and the asymptotic behavior of eigenvalues

DOI10.14492/HOKMJ/1381517826zbMath0626.35069OpenAlexW2092332105MaRDI QIDQ580595

Junichi Aramaki

Publication date: 1987

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

Full work available at URL: https://doi.org/10.14492/hokmj/1381517826

zbMATH Keywords

asymptotic behaviorspectrumSchwartz spacehypoellipticcharacteristic setprincipal symbolspectral resolutionclosed conic submanifoldsComplex powereigenvalues of finite multiplicityformally self-adjointsingularities of trace

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05)

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