Asymptotic of the spectral function of a positive elliptic operator without the nontrap condition

DOI10.1007/BF01077627zbMath0679.35074MaRDI QIDQ1822693

Yu. G. Safarov

Publication date: 1988

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

zbMATH Keywords

spectral functionclosed manifoldpositive pseudodifferential operatorsecond term of the asymptotics

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)

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• A complete asymptotic expansion of the spectral function for second-order elliptic operators inRⁿ

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