This volume, dedicated to Bernd Silbermann on his sixtieth birthday, collects research articles on Toeplitz matrices and singular integral equations written by leading area experts. The subjects of the contributions include Banach algebraic methods, Toeplitz determinants and random matrix theory, Fredholm theory and numerical analysis for singular integral equations, and efficient algorithms for linear systems with structured matrices, and reflect Bernd Silbermann's broad spectrum of research interests. The volume also contains a biographical essay and a list of publications. The book is addressed to a wide audience in the mathematical and engineering sciences. The articles are carefully written and are accessible to motivated readers with basic knowledge in functional analysis and operator theory.
Inversion of Finite Toeplitz Matrices Consisting of Elements of a Noncommutative Algebra . ... Singular Integral Equations with Continuous Coefficients onaComposedContour .
[MR 34 #3365 Krupnik, N.Ya. 1. Singular integral operators with matria coefficients, in: Spectral Properties of ... (Russian) Lee, M. and ... (Russian) [MR 57 #6439] Levin, B.Ya. and Ostrovskii, I.V. 1. Small perturbations of the 284 ...
The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician.
The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician.
This work focuses exclusively on singular integral equations and on the distributional solutions of these equations.
I. C. Gohberg and I. A. Feldman: Convolution equations and projection methods for their solution. Transl. Math. Monographs, vol. 4l, Amer. Math. Soc., Providence, R.I., 1974. I. C. Gohberg and I. A. Feldman: The indices of multiple ...
R. H.-F. Chan and X.-Q. Jin (2007), An Introduction to Iterative Toeplitz Solvers, vol. 5: Fundamentals of Algorithms. SIAM. K. Chandrasekharan, ed. (1986), Weyl Centenary Symposium, 1885–1985. Springer. S.-Y. A. Chang (1976), ...
Algebraic Methods for Toeplitz-like Matrices and Operators
[11] J.W. Helton, Operator Theory, Analytic Functions, Matrices, and Electrical Engineering. Reg. Conf. Ser. Math. 68 (1987), 134 p. [12] J.W. Helton and R.E. Howe, A bang-bang theorem for optimization over spaces of analytic functions.
[2] On singular integral equations with measurable coefficients on weighted spaces (Russian). Matem. Issled. Kishinev 5 (1970), 1, 141-151. ... [8] On a local principle and on algebras generated by Toeplitz matrices (Russian).