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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 $$S ^m$$.

##### 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
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