On the solvability of a class of second kind integral equations on unbounded domains
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Publication:1380364
DOI10.1006/jmaa.1997.5585zbMath0891.45002OpenAlexW1967321976MaRDI QIDQ1380364
Simon N. Chandler-Wilde, Bo Zhang
Publication date: 20 July 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8f9fc00e972a444a4009d0907e7924e8c04e6e6c
systemsWiener-Hopf equationLippmann-Schwinger integral equationWiener-Hopf integral operatorscollectively compact operator theory
Systems of singular linear integral equations (45F15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)
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Cites Work
- Bounded continuous functions on a locally compact space
- A general look at local principles with special emphasis on the norm computation aspect
- Asymptotic inversion of convolution operators
- Asymptotic behaviour at infinity of solutions of multidimensional second kind integral equations
- Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
- Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution
- Approximate Solution of Second Kind Integral Equations on Infinite Cylindrical Surfaces
- OPERATORS OF CONVOLUTION TYPE IN CONES
- Equivalent Norms for Sobolev Spaces
- Toeplitz operators in a quarter-plane
- On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
- Inverse acoustic and electromagnetic scattering theory
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