Bobrov, A. N.; Podol’skij, V. E. Convergence of regularized traces of powers of the Laplace-Betrami operator with potential on the sphere \(S^n\). (English. Russian original) Zbl 0947.58023 Sb. Math. 190, No. 10, 1401-1415 (1999); translation from Mat. Sb. 190, No. 10, 3-16 (1999). The author studies in detail the problem of the convergence of regularized traces of powers of the eigenvalues of the operator \( -\Delta + q \) on the sphere \( S ^m\). Reviewer: Mircea Puta (Timişoara) Cited in 1 Document MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 35P20 Asymptotic distributions of eigenvalues in context of PDEs Keywords:Laplace operator; traces; spectrum; convergence PDF BibTeX XML Cite \textit{A. N. Bobrov} and \textit{V. E. Podol'skij}, Sb. Math. 190, No. 10, 1401--1415 (1999; Zbl 0947.58023); translation from Mat. Sb. 190, No. 10, 3--16 (1999) Full Text: DOI