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Spectral analysis of fourth order differential operators III

โœ Scribed by Horst Behncke

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
177 KB
Volume
283
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

This paper extends the results of the two previous papers in several directions. For one we allow slower decay of the coefficients, but higher order differentiability. For this an expansion for the diagonalizing transformations is derived. Secondly unbounded coefficients are permitted. This requires further transformations in order to achieve Levinson's form, but also a modification with the usual Mโ€matrix approach. While the standard results carry over to weakly singular coefficients, very singular coefficients will generally lead to discrete spectra (ยฉ 2010 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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