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

DOI10.13108/2016-8-3-22zbMath1463.47134OpenAlexW2588763670MaRDI QIDQ5136181

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

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa323

zbMATH Keywords

resolventLaplace-Beltrami operatorkernelperturbed operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05)

Related Items (4)

Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip ⋮ Trace formula for a bounded perturbation of the Laplace operator on the square ⋮ The spectrum and trace formula for bounded perturbations of differential operators ⋮ On necessary and sufficient condition in theory of regularized traces

Cites Work

• Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula
• The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphere \(S^ 2\)
• Asymptotics of the eigenvalues and the formula for the trace of perturbations of the Laplace operator on the sphere \(\mathbb{S}^2\)

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