Location of Repository

20 pages, 1 figureIn 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

Topics:
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]

Publisher: Indiana University Mathematics Journal

Year: 2005

OAI identifier:
oai:HAL:hal-00110841v1

Provided by:
Hal-Diderot

Download PDF:To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.