Volume estimates and spectral asymptotics for a class of pseudo-differential operators

DOI10.1007/s11868-012-0058-5zbMath1260.35265OpenAlexW2024982147MaRDI QIDQ1943003

Raymond Roccaforte

Publication date: 14 March 2013

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-012-0058-5

zbMATH Keywords

spectral asymptoticsSzegö theorempseudo-differential operatorsheat expansion

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (1)

Two-term Szegő theorem for generalised anti-Wick operators

Cites Work

• The volume of non-uniform tubular neighborhoods and an application to the \(n\)-dimensional Szegö theorem
• Asymptotic expansions for pseudodifferential operators on bounded domains
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Fourier integral operators. I
• Toeplitz matrices, translation kernels and a related problem in probability theory
• Free fermions violate the area law for entanglement entropy
• Asymptotic Expansions of Traces for Certain Convolution Operators
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
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