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Localization algorithms for singularities of solutions to convolution equations of the first kind. (English) Zbl 1158.65087
The authors construct and investigate localization algorithms for isolated singularities of a solution of a linear convolution equation of the first kind whose right-hand side to be given using an averaging method defined by an averaging functional to obtain the singularities and using the Fourier transform.

65R20 Numerical methods for integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
Full Text: DOI
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