ListDeconvolve

ListDeconvolve[ker, list] gives a deconvolution of list using kernel ker.

Examples

ListDeconvolve[{1, 2, 1}, {1, 4, 8, 10, 8, 4, 1}]

ker = {1, 2, 1};
data = ListConvolve[ker, {1, 0, 0, 0, 1}];
ListDeconvolve[ker, data]

Please visit the official Wolfram Language Reference for more details.