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arxiv: 1401.1662 · v1 · pith:EVQYXFPUnew · submitted 2014-01-08 · 🧮 math.CA · math.CV· math.SP

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

classification 🧮 math.CA math.CVmath.SP
keywords discriminantfunctionsherglotzanalysisbasicdifferentialelementaryequation
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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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