A problem of core level width deconvolution in EXAFS spectroscopy is d
iscussed. A method has been developed which allows a correction of exp
erimental spectra. A special iterative algorithm of solving the integr
al equation has been proposed. The method has several advantages over
other previous ones such as a high stability to statistical noise, a g
ood convergence. An EXAFS spectrum of polycrystalline Pd with a core l
evel width Gamma = 6.1 eV is presented as an example where the broaden
ing effect is essential.