Accurate spectral asymptotics for elliptic operators that act in vector bundles

DOI10.1007/BF01081624zbMath0549.35100MaRDI QIDQ800574

Victor Ivrii

Publication date: 1982

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

zbMATH Keywords

Hermitian vector bundlefirst-order elliptic selfadjoint pseudo- differential operatorWeyl hypothesis

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) Pseudodifferential and Fourier integral operators on manifolds (58J40) Elliptic equations and elliptic systems (35J99)

Related Items (6)

The spectral function of a first order elliptic system ⋮ Estimates and spectral asymptotics for systems with multiplicities ⋮ The second Weyl coefficient for a first order system ⋮ The curl operator on odd-dimensional manifolds ⋮ 100 years of Weyl's law ⋮ Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities

Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• The spectral function of an elliptic operator
• Fourier integral operators. I
• Fourier integral operators. II
• Pseudo‐differential operators
• Unnamed Item
• Unnamed Item

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