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arXiv · 1110.6709

Mark Krein's Method of Directing Functionals and Singular Potentials

Charles Fulton·Heinz Langer·Annemarie Luger
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Abstract

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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Charles Fulton, Heinz Langer, Annemarie Luger. 2011-10-31. Mark Krein's Method of Directing Functionals and Singular Potentials. https://arxiv.org/abs/1110.6709

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