Finite section method in some algebras of multiplication and convolution operators and a flip

DOI10.4171/ZAA/779zbMath0887.65141MaRDI QIDQ1368784

Pedro A. Santos, Steffen Roch, Bernd Silbermann

Publication date: 26 November 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

numerical examplesHankel operatorsconvolution operatorsfinite section methodWiener-Hopf operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Integral operators (47G10)

Related Items

Finite section method for a Banach algebra of convolution type operators on \({L^p(\mathbb R)}\) with symbols generated by \(PC\) and \(SO\), The asymptotics of a Bessel-kernel determinant which arises in random matrix theory, Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\), Unnamed Item, Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations, More Than 40 Years of Algebraic Techniques in Numerical Analysis, Spectral approximation of Wiener-Hopf operators with almost periodic generating function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local objects in the theory of Toeplitz operators
• On algebras generated by convolutions and discontinuous functions
• A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients
• Numerical analysis for integral and related operator equations.
• Pseudospectra and singular values of large convolution operators
• A Wiener-Hopf approach for the scattering by a disk
• The finite section method for TOEPLITZ operators on the quarter-plane with piecewise continuous symbols
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• Factorization of Certain Piecewise Constant Matrix Functions and Its Applications
• Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
• Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
• Sommerfeld Half-plane Problems with Higher Order Boundary Conditions