The Asymptotic Expansion for the Trace of the Heat Kernel on a Generalized Surface of Revolution

DOI10.2307/1999194zbMath0514.58036OpenAlexW4254396017WikidataQ125852230 ScholiaQ125852230MaRDI QIDQ3660580

Ping-Charng Lue

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999194

zbMATH Keywords

parametrixLaplacian on Riemannian manifoldasymptotics of heat equation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Global Riemannian geometry, including pinching (53C20)

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The resolvent expansion for second order regular singular operators

Cites Work

• Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• A lower bound for the heat kernel
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
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