Toeplitz Matrices, Convolution Operators, and Integral Equations - Michael Falk - Bog

Essay on Bernd Silbermann.- Publications of Bernd Silbermann.- Toeplitz Corona Problem for Algebras of Almost Periodic Functions.- Sums of Idempotents in the Banach Algebra Generated by the Compact Operators and the Identity.- Asymptotic Formulas for the Determinants of Symmetric Toeplitz plus Hankel Matrices.- On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains.- On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix.- Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions.- Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-smooth Domains.- On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matrix-valued Carathéodory Functions.- Finite Section Method for Linear Ordinary Differential Equations Revisited.- Fast Algorithms for Skewsymmetric Toeplitz Matrices.- On Collocation Methods for Nonlinear Cauchy Singular Integral Equations.- Local method for nonlocal operators on Banach spaces.- Numerical Solution of Mellin Type Equations via Wiener-Hopf Equations.- A 1-parameter Scale of Closed Ideals Formed by Strictly Singular Operators.- Local Theory of the Fredholmness of Band-dominated Operators with Slowly Oscillating Coefficients.- More Inequalities and Asymptotics for Matrix Valued Linear Positive Operators: the Noncommutative Case.- Toeplitz Determinants, Random Matrices and Random Permutations.