Operator extension theory model for -perturbation supported by curve of the Laplace-Beltrami operator on the sphere is described. The sequence of operators with regular potentials converging to the model operator in norm resolvent sense is constructed.
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D.A. Eremin, D.A. Ivanov, Igor Yu. Popov, Regular Potential Approximation for -Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere. Z. Anal. Anwend. 31 (2012), no. 2, pp. 125–137DOI 10.4171/ZAA/1451