an:05382631
Zbl 1158.65087
Ageev, A. L.; Antonova, T. V.
Localization algorithms for singularities of solutions to convolution equations of the first kind
EN
J. Inverse Ill-Posed Probl. 16, No. 7, 639-650 (2008).
00234807
2008
j
65R20 45E10
isolated singularity; averaging functional; separation threshold; discontinuity point; Fourier transform; Cauchy-Bunyakovskii inequality; localization algorithms; linear convolution equation of the first kind
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.
Hu Chuangan (Tianjin)