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1	Convolution type operators on cones and asymptotic spectral theory Mascarenhas, Helena. January 2004 (has links) (PDF) Chemnitz, Techn. University, Diss., 2004. Faltungsoperator
2	Invertibility of a class of Toeplitz operators over the half plane Vasil'ev, Vladimir A., January 2007 (has links) Chemnitz, Techn. Univ., Diss., 2007.
3	Generalized convolution operators and asymptotic spectral theory Zabroda, Olga Nikolaievna 14 December 2006 (has links) (PDF) The dissertation contributes to the further advancement of the theory of various classes of discrete and continuous (integral) convolution operators. The thesis is devoted to the study of sequences of matrices or operators which are built up in special ways from generalized discrete or continuous convolution operators. The generating functions depend on three variables and this leads to considerably more complicated approximation sequences. The aim was to obtain for each case a result analogous to the first Szegö limit theorem providing the first order asymptotic formula for the spectra of regular convolutions. Grenzwertsatz von Szegö Spektraltheorie ddc:500 Banach-Algebra Faltungsoperator Toeplitz-Operator
4	Generalized convolution operators and asymptotic spectral theory Zabroda, Olga Nikolaievna 11 December 2006 (has links) The dissertation contributes to the further advancement of the theory of various classes of discrete and continuous (integral) convolution operators. The thesis is devoted to the study of sequences of matrices or operators which are built up in special ways from generalized discrete or continuous convolution operators. The generating functions depend on three variables and this leads to considerably more complicated approximation sequences. The aim was to obtain for each case a result analogous to the first Szegö limit theorem providing the first order asymptotic formula for the spectra of regular convolutions. info:eu-repo/classification/ddc/500 ddc:500 Banach-Algebra Faltungsoperator Toeplitz-Operator Grenzwertsatz von Szegö Spektraltheorie
5	Invertibility of a Class of Toeplitz Operators over the Half Plane Vasilyev, Vladimir 07 February 2007 (has links) (PDF) This dissertation is concerned with invertibility and one-sided invertibility of Toeplitz operators over the half plane whose generating functions admit homogenous discontinuities, and with stability of their pseudo finite sections. The invertibility criterium is given in terms of invertibility of a family of one dimensional Toeplitz operators with piecewise continuous generating functions. The one-sided invertibility criterium is given it terms of constraints on the partial indices of certain Toeplitz operator valued function. Toeplitz operator over the half plane approximate identities convolution operator homogenous discontinuities ddc:500 Banach-Algebra Faltungsoperator Halbraum Stabilität Toeplitz-Operator
6	Invertibility of a Class of Toeplitz Operators over the Half Plane Vasilyev, Vladimir 28 September 2006 (has links) This dissertation is concerned with invertibility and one-sided invertibility of Toeplitz operators over the half plane whose generating functions admit homogenous discontinuities, and with stability of their pseudo finite sections. The invertibility criterium is given in terms of invertibility of a family of one dimensional Toeplitz operators with piecewise continuous generating functions. The one-sided invertibility criterium is given it terms of constraints on the partial indices of certain Toeplitz operator valued function. info:eu-repo/classification/ddc/500 ddc:500 Banach-Algebra Faltungsoperator Halbraum Stabilität Toeplitz-Operator Toeplitz operator over the half plane approximate identities convolution operator homogenous discontinuities

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