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Toeplitz Matrices, Convolution Operators, and Integral Equations

- The Bernd Silbermann Anniversary Volume

About Toeplitz Matrices, Convolution Operators, and Integral Equations

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.

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  • Language:
  • English
  • ISBN:
  • 9783764368777
  • Binding:
  • Hardback
  • Pages:
  • 344
  • Published:
  • October 2, 2002
  • Dimensions:
  • 156x234x21 mm.
  • Weight:
  • 658 g.
Delivery: 2-3 weeks
Expected delivery: November 23, 2024

Description of Toeplitz Matrices, Convolution Operators, and Integral Equations

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.

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