Additional spectral properties of the fourth-order Bessel-type differential equation

W Everitt, H Kalf, LL Littlejohn, C Markett

Research output: Contribution to journalArticle

4 Citations (Scopus)


This paper discusses the spectral properties of the self-adjoint differential operator generated by the fourth-order Bessel-type differential expression, as defined by Everitt and Markett in 1994, in a Lebesgue-Stieltjes Hilbert function space. This space involves functions defined on the real line; the Lebesgue-Stieltjes measure is locally absolutely continuous on the real line, with the origin removed; the origin itself has strictly positive measure. It is shown that there is a unique such self-adjoint operator; this operator has no eigenvalues but has a continuous spectrum on the positive half-line of the spectral plane. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Original languageEnglish
Pages (from-to)1538-1549
Number of pages12
JournalMathematische Nachrichten
Publication statusPublished - 1 Jan 2005


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