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Analytical and Numerical Solutions of Linear Singular Integral Equations

H. Itou, S. Saitoh


In this paper, by a new concept and method we shall give practical and numerical solutions of linear singular integral equations by combining the two theories of the Tikhonov regularization and reproducing kernels.


Linear singular integral equation, Hilbert transform, Carleman’s equation, approximation of functions, reproducing kernel, Tikhonov regularization, Paley-Wiener space, generalized inverse, approximate inverse, noise, error.

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