  The non-exponential relaxation is shown to result from subordination by
inverse tempered \alpha-stable processes. The main feature of tempered
\alpha-stable processes is a finiteness of their moments, and the class of
random processes includes ordinary \alpha-stable processes as a particular
case. Starting with the Cole-Cole response this subordination approach
establishes its direct link with the Cole-Davidson law. We derive the
relaxation function describing the tempered relaxation. The meaning of the
empirical response function is clarified.
