Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula

DOI10.1134/S1064562411070143zbMath1242.47038OpenAlexW1964295844MaRDI QIDQ416865

Z. Yu. Fazullin, A. I. Atnagulov, Victor A. Sadovnichij

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411070143

zbMATH Keywords

perturbationeigenvaluesLaplace-Beltrami operatortwo-dimensional sphere

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Related Items (2)

Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula ⋮ Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip

Cites Work

• Asymptotics of the eigenvalues and the formula for the trace of perturbations of the Laplace operator on the sphere \(\mathbb{S}^2\)
• A formula for the first regularized trace of a perturbed Laplace-Beltrami operator

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