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1	Das absolutstetige Spektrum eines Matrixoperators und eines diskreten kanonischen Systems / The absolutely continuous spectrum of a matrix operator and a discrete canonical system Fischer, Andreas 19 April 2004 (has links) 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. canonical systems absolutely continuous spectrum differential operators differential systems asymptotic integration Titchmarsh-Weyl M-matrix 34L05 34L10 39A70 34B05 27 - Mathematik ddc:510