Global ETD Search

1	Fundamental theorem of algebra Shibalovich, Paul 01 January 2002 (has links) The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved. Fundamental theorem of algebra Embedding theorems Approximate identities (Algebra) Combinatorial analysis Algorithms Equations Mathematics Algebra
2	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
3	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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