Finite section method for a Banach algebra of convolution type operators on \({L^p(\mathbb R)}\) with symbols generated by \(PC\) and \(SO\)

DOI10.1007/s00020-010-1784-9zbMath1202.65171arXiv0909.3821OpenAlexW3148854856MaRDI QIDQ601706

Helena Mascarenhas, Pedro A. Santos, Alexei Yu. Karlovich

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3821

zbMATH Keywords

homogenizationFourier multiplierslowly oscillating functionalgebraizationfinite section methodlocal principleessentializationtwo projections theorem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Numerical solutions to equations with linear operators (65J10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (6)

Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\) ⋮ On an open question about the stability of the finite section method for a class of convolution type operators ⋮ Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations ⋮ Erratum to: Finite section method for a Banach algebra of convolution type operators on \({L^{p}(\mathbb{R})}\) with symbols generated by \(PC\) and \(SO\) ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ Galerkin Method with Graded Meshes for Wiener-Hopf Operators with PC Symbols in L p Spaces

Cites Work

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• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Convolution operators and factorization of almost periodic matrix functions
• Spectral theory of approximation methods for convolution equations
• Finite section method in some algebras of multiplication and convolution operators and a flip
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data
• Classical Fourier Analysis
• A Sequence Algebra of Finite Sections, Convolution, and Multiplication Operators onL^P(ℝ)
• The Finite Section Method for Two-dimensional Wiener-Hopf Integral Operators in Lp with Piecewise Continuous Symbols
• Fredholm Toeplitz Operators and Slow Oscillation
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren

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