On the solvability of singular integral equations with reflection on the unit circle

DOI10.1007/s00020-011-1871-6zbMath1220.45002OpenAlexW1996029440MaRDI QIDQ543466

Luis Filipe Pinheiro de Castro, Edixon Rojas

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1871-6

zbMATH Keywords

reflectionsolvabilityunit circleRiemann boundary value problemCarleman shiftsystem of singular integral equation

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Boundary value problems in the complex plane (30E25) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items

Solvability of infinite system of nonlinear singular integral equations in the C(Itimes I, c) space and modified semi-analytic method to find a closed-form of solution ⋮ Boundary value problems and singular integral equations on Banach function spaces ⋮ Some classes of singular integral equations of convolution type in the class of exponentially increasing functions ⋮ Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

Cites Work

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• Spectral measures in \(C^{*}\)-algebras of singular integral operators with shifts
• Explicit solutions of Cauchy singular integral equations with weighted Carleman shift
• Factorization of matrix functions and singular integral operators
• On a class of singular integral equations with rotations
• On singular integral equations with the Carleman shifts in the case of the vanishing coefficient
• Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles non linéaires
• Factorization of singular integral operators with a Carleman shift and spectral problems
• A normalization problem for a class of singular integral operators with Carleman shift and unbounded coefficients
• Approximate methods for singular integral equations with a non-Carleman shift
• Reduction of singular integral operators with flip and their Fredholm property
• Calculation of the defect numbers of the generalized Hilbert and Carleman boundary value problems with linear fractional Carleman shift
• On a class of singular integral equations with the linear fractional Carleman shift and the degenerate kernel
• Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations
• Applications of operator equalities to singular integral operators and to Riemann boundary value problems
• Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: the anticommutative case