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arXiv · 1401.1662

A remark on the discriminant of Hill's equation and Herglotz functions

Konstantin Pankrashkin
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Abstract

We establish a link between the basic properties of the discriminant of periodic second-order differential equations and an elementary analysis of Herglotz functions. Some generalizations are presented using the language of self-adjoint extensions.

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Konstantin Pankrashkin. 2014-01-08. A remark on the discriminant of Hill's equation and Herglotz functions. https://doi.org/10.1007/s00013-014-0612-x

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