Jacob's ladders, $\mathcal{Z}_{\zeta,Q^2}$-transformation of real   elementary functions and telegraphic signals generated by the power functions
  In this paper we show that the $\mathcal{Z}_{\zeta,Q^2}$-transformation of every unbounded signal based on increasing power function is a telegraphic signal, i.e. the unit rectangular signal. 
Jan Moser
math.CA