Mark Krein's Method of Directing Functionals and Singular Potentials
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🧮 math.SP
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singulardirectingexistencefunctionalskreinmethodanalyticallyassumption
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It is shown that M. Krein's method of directing functionals can be used to prove the existence of a scalar spectral measure for certain Sturm-Liouville equations with two singular endpoints. The essential assumption is the existence of a solution of the equation that is square integrable at one singular endpoint and depends analytically on the eigenvalue parameter.
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