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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
MathSciNet review: 0457836
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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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  • [2] M. C. Gutzwiller, J. Math. Phys. 8 (1967), p. 1979.
  • [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,
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  • [6] Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874

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Keywords: Products of eigenvalues of Sturm-Liouville operators
Article copyright: © Copyright 1977 American Mathematical Society

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