Titel:	Das absolutstetige Spektrum eines Matrixoperators und eines diskreten kanonischen Systems
Sonstige Titel:	The absolutely continuous spectrum of a matrix operator and a discrete canonical system
Autor(en):	Fischer, Andreas
Erstgutachter:	Prof. Ph.D. H. Behncke
Zweitgutachter:	Prof. Ph.D. D. Hinton Priv.-Doz. Dr. C. Remling
Zusammenfassung:	In the first part of this thesis the spectrum of a matrix operator is determined. For this the coefficients of the matrix operator are assumed to satisfy rather general properties which combine smoothness and decay. With this the asymptotics of the eigenfunctions can be determined. This in turn leads to properties of the spectra with the aid of the M-matrix. In the second part it will be shown that if a discrete canonical system has absolutely continuous spectrum of a certain multiplicity, then there is a corresponding number of linearly independent solutions y which are bounded in a weak sense.
URL:	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2004041919
Schlagworte:	canonical systems; absolutely continuous spectrum; differential operators; differential systems; asymptotic integration; Titchmarsh-Weyl M-matrix
Erscheinungsdatum:	19-Apr-2004
Einreichungsdatum:	19-Apr-2004
Publikationstyp:	Dissertation oder Habilitation [doctoralThesis]
Enthalten in den Sammlungen:	FB06 - E-Dissertationen

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