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A theorem on infinite products of eigenvalues of Sturm-Liouville type operators


Authors: S. Levit and U. Smilansky
Journal: Proc. Amer. Math. Soc. 65 (1977), 299-302
MSC: Primary 34B25; Secondary 34E99
DOI: https://doi.org/10.1090/S0002-9939-1977-0457836-8
MathSciNet review: 0457836
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Abstract | References | Similar Articles | Additional Information

Abstract: Infinite products of ratios of eigenvalues of Sturm-Liouville operators are expressed in a closed form in terms of corresponding solutions of initial-value problems.


References [Enhancements On Off] (What's this?)

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  • [3] S. Levit and U. Smilansky, A new approach to Gaussian path integrals and the evaluation of the semiclassical propagator, Ann. Physics 103 (1977), no. 1, 198–207. MR 0438920, https://doi.org/10.1016/0003-4916(77)90269-X
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0457836-8
Keywords: Products of eigenvalues of Sturm-Liouville operators
Article copyright: © Copyright 1977 American Mathematical Society