Localization algorithms for singularities of solutions to convolution equations of the first kind. (English) Zbl 1158.65087

Ageev, A. L.; Antonova, T. V.

J. Inverse Ill-Posed Probl. 16, No. 7, 639-650 (2008).

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.

Reviewer: Hu Chuangan (Tianjin)

MSC:

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

Keywords:

isolated singularity; averaging functional; separation threshold; discontinuity point; Fourier transform; Cauchy-Bunyakovskii inequality; localization algorithms; linear convolution equation of the first kind

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