Asymptotic distribution of eigenvalues of a class of hypoelliptic operators

DOI10.3792/PJAA.54.137zbMath0409.35023OpenAlexW1968058268MaRDI QIDQ1258873

K. Appert

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.137

zbMATH Keywords

SelfadjointnessHeat EquationPseudodifferential OperatorsHypoellipticityAsymptotic Distribution of EigenvaluesComplex Powers

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Hypoelliptic equations (35H10) Initial value problems for higher-order parabolic equations (35K30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (1)

Spectral asymptotics of differential and pseudodifferential operators. I

Cites Work

• Unnamed Item
• On the asymptotic behavior of resolvent kernels and spectral functions for some class of hypoelliptic operators
• Asymptotic properties of eigenvalues of selfadjoint elliptic operators
• Pseudodifferential operators on \(R^ n\) with bounded symbols
• Regularity theorems for fractional powers of a linear elliptic operator
• The fundamental solution for a parabolic pseudo-differential operator and parametrices for degenerate operators
• Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type
• A Generalization of Epstein Zeta Functions

This page was built for publication: Asymptotic distribution of eigenvalues of a class of hypoelliptic operators