Abstract
The paper contains formulas for regularized traces of the Laplace-Beltrami operator on the unit sphere under perturbation determined by a bounded complex-valued potential and a sufficiently complete justification of these formulas.
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Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 702–705, May, 2000.
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Dubrovskii, V.V., Terent’ev, S.A. Regularized traces of a perturbed laplace-beltrami operator on the unit two-dimensional sphere. Math Notes 67, 596–598 (2000). https://doi.org/10.1007/BF02676330
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DOI: https://doi.org/10.1007/BF02676330