Spectral Analysis of a Self-Similar Sturm-Liouville Operator

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dc.creatorSabot, Christophe
dc.date2004-01-30
dc.date.accessioned2026-07-07T04:30:54Z
dc.date.available2026-07-07T04:30:54Z
dc.descriptionIn this text we describe the spectral nature (pure point or continuous) of a self-similar Sturm-Liouville operator on the line or the half-line. This is motivated by the more general problem of understanding the spectrum of Laplace operators on unbounded finitely ramified self-similar sets. In this context, this furnishes the first example of a description of the spectral nature of the operator in the case where the so-called "Neumann-Dirichlet" eigenfunctions are absent.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0401056
dc.identifierhttp://arxiv.org/abs/math-ph/0401056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57635
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject34L10 (34L20, 82B44)
dc.titleSpectral Analysis of a Self-Similar Sturm-Liouville Operator
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