Semiclassical asymptotics of the spectrum of hypoelliptic operators on a foliated manifold

DOI10.1007/BF01077061zbMATH Open0856.58046OpenAlexW2059312955MaRDI QIDQ1916679

Yuri A. Kordyukov

Publication date: 24 February 1997

Published in: Functional Analysis and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077061

zbMATH Keywords

asymptotic distributionspectrumfoliationhypoelliptic pseudodifferential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

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Related Items (6)

The semiclassical asymptote of the spectrum of elliptic operators on a manifold with foliation ⋮ Noncommutative spectral geometry of Riemannian foliations ⋮ NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS ⋮ Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution ⋮ Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere ⋮ Review on spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle

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