ListConvolve::nlen
ListCorrelate::nlen
An error occurs because the limits specified in the third argument do not provide for any elements in the result:
ListConvolve[{k1, k2}, {d1, d2}, {4, 1}]This shows valid arguments in ListConvolve:
ListConvolve[{k1, k2}, {d1, d2}, {1, 4}]