References
- S. Abdullaev. Multidimensional singular integral equations in Holder spaces with a weight degenerating on a non-compact set. Doklady Akademii Nauk SSSR, 308(6):1289–1292, 1989.
- A. Böttcher and B. Silbermann. Analysis of Toeplitz Operators. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2006. https://doi.org/10.1007/3-540-32436-4.
- V. Didenko and B. Silbermann. Approximation of Additive Convolution-like Operators. Real C∗-algebra Approach. Birkhauser, Basel, 2008.
- F.D. Gakhov. Boundary Value Problems. International Series of Monographs in Pure and Applied Mathematics. Pergamon, Massachusetts, Palo Alto, London, 1966.
- I.C. Gohberg and I.A. Feldman. Convolution Equations and Projection Methods for Their Solution (Translations of Mathematical Monographs). The American Mathematical Society, Providence, 1974.
- R. Hagen, S. Roch and B. Silbermann. C∗-algebras and Numerical Analysis. Pure and applied mathematics. A series of Monographs and textbooks. Marcel Dekker, New York, 2001.
- I. Lifanov, L. Poltavskii and G. Vainikko. Hypersingular Integral Equations and their Applications. Chapman & Hall/CRC, Boca Raton, 2004.
- I.K. Lifanov. Singular Integral Equations and Discrete Vortices. VSP, Utrecht, The Netherlands, 1996.
- I.K. Lifanov and L.N. Poltavskii. Pseudodifference operators and uniform convergence of divided differences. Sbornik: Mathematics, 193(2):205–230, 2002. https://doi.org/10.1070/SM2002v193n02ABEH000627.
- S.G. Mikhlin and S. Prössdorf. Singular Integral Operators. Springer-Verlag, Berlin, 1986.
- N.I. Muskhelishvili. Singular Integral Equations. Springer Netherlands, 1958. https://doi.org/10.1007/978-94-009-9994-7.
- A. Pedas and E. Tamme. Spline collocation method for integro-differential equations with weakly singular kernels. Journal of Computational and Applied Mathematics, 197(1):253–269, 2006. https://doi.org/10.1016/j.cam.2005.07.035.
- A. Pedas and E. Tamme. A discrete collocation method for Fredholm integrodifferential equations with weakly singular kernels. Applied Numerical Mathematics, 61(6):738–751, 2011. https://doi.org/10.1016/j.apnum.2011.01.006.
- S. Prössdorf and B. Silbermann. Numerical Analysis for Integral and Related Operator Equations, volume 52 of Operator Theory: Advances and Applications. Birkhäuser, Basel, 1991.
- J. Saranen and G. Vainikko. Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Springer Monographs in Mathematics. Springer, Berlin, 2002. https://doi.org/10.1007/978-3-662-04796-5.
- E. Vainikko and G. Vainikko. A spline product quasi-interpolation method for weakly singular Fredholm integral equations. SIAM Journal on Numerical Analysis, 46(4):1799–1820, 2008. https://doi.org/10.1137/070693308.
- G. Vainikko. Multidimensional Weakly Singular Integral Equations, volume 1549 of Lecture Notes in Mathematics. Springer, Berlin, Heidelberg, 1993. https://doi.org/10.1007/BFb0088979.
- A.V. Vasil’ev and V. B. Vasil’ev. Periodic Riemann problem and discrete convolution equations. Differential Equations, 51(5):652–660, 2015. https://doi.org/10.1134/S0012266115050080.
- A.V. Vasil’ev and V.B. Vasil’ev. On the solvability of certain discrete equations and related estimates of discrete operators. Doklady Mathematics, 92(2):585–589, 2015. https://doi.org/10.1134/S1064562415050312.
- A.V. Vasilyev and V.B. Vasilyev. Numerical analysis for some singular integral equations. Neural, Parallel & Scientific Computations, 20(3/4):313–326, 2012.
- A.V. Vasilyev and V.B. Vasilyev. Discrete singular operators and equations in a half-space. Azerbaijan Journal of Mathematics, 3(1):84–93, 2013.
- A.V. Vasilyev and V.B. Vasilyev. Discrete singular integrals in a halfspace. In V.V. Mityushev and M.V. Ruzhansky (Eds.), Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Kraków 2013, pp. 663–670, Cham, 2015. Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-072.