Spectral analysis of higher order differential operators with unbounded coefficients II

Differential operators of higher order with unbounded coefficients are analyzed with respect to deficiency index and spectra. The eigenvalues fall into clusters of distinct size and each cluster contributes separately to the deficiency index and spectra.

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Bibliographic Details
Published inMathematische Nachrichten Vol. 285; no. 2-3; pp. 181 - 201
Main Authors Behncke, Horst, Oluoch Nyamwala, Fredrick
Format Journal Article
LanguageEnglish
Published Germany WILEY-VCH Verlag 01.02.2012
WILEY‐VCH Verlag
Subjects
34L05
34L20
absolutely continuous spectrum
deficiency indices
Eigenvalues
MSC 47E05
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Summary:Differential operators of higher order with unbounded coefficients are analyzed with respect to deficiency index and spectra. The eigenvalues fall into clusters of distinct size and each cluster contributes separately to the deficiency index and spectra.
Bibliography:ArticleID:MANA201000031
ark:/67375/WNG-VF7ZJ93L-2
istex:A45FF11650323696BF91F27FB3A611ABC03A9BEB
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201000031