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Spectral analysis of higher order differential operators with unbounded coefficients

✍ Scribed by Horst Behncke; Fredrick Oluoch Nyamwala

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
209 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Higher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying differential operators are superpositions of the contributions from the individual clusters. These results are based on a quantitative improvement of Levinson's Theorem. Our methods will also be applicable to other classes of linear differential operators.

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