On the convergence of the trace of a power of the Laplace-Beltrami operator with a potential on the sphere \(S^n\)

DOI10.1007/BF02466062zbMath0917.58048OpenAlexW2047381794MaRDI QIDQ1272016

A. N. Bobrov, Vladimir E. Podol'skij

Publication date: 5 August 1999

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02466062

zbMATH Keywords

convergenceeigenvaluesregularized traces\(n\)-spherecomplex-valued potentialLaplace operator with potential term

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05)

Cites Work

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• Some spectral results for the Laplace operator with potential on the n- sphere
• Some spectral results on rank one symmetric spaces
• An Addendum to: Some spectral results on rank one symmetric spaces
• Band asymptotics in two dimensions
• The Laplace operator with potential on the 2-sphere

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