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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.

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