Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary

DOI10.1007/BFb0072205zbMath0565.35002OpenAlexW600786134MaRDI QIDQ1058655

Victor Ivrii

Publication date: 1984

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0072205

zbMATH Keywords

asymptoticsLaplace-Beltrami operatorselfadjoint operatorscompact manifoldsTauberian theoremsoscillatory integralseigenvalue distribution functionfiber bundlespropagation of singularities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Hyperbolic equations on manifolds (58J45)

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