Jacob's ladders and some unbounded decomposition of the $\zeta$-oscillating systems on products of other $\zeta$-oscillating systems as an $\zeta$-analogue of the prime decomposition

Similar Jacob's ladders and some unbounded decomposition of the $\zeta$-oscillating systems on products of other $\zeta$-oscillating systems as an $\zeta$-analogue of the prime decomposition