In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms and . These operators arise when one studies the interior problem of tomography. The diagonalization of has been previously obtained, but only asymptotically when . We implement a novel approach based on the method of matrix Riemann-Hilbert problems (RHP) which diagonalizes explicitly. We also find the asymptotics of the solution to a related RHP and obtain error estimates.
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| http://dx.doi.org/10.1007/s13324-020-00371-6 | DOI Listing |
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