Asymptotic behavior of the pion electromagnetic form factor in a new phase representation

A new form is obtained for the phase representation of the pion form-factor assuming polynomial boundedness of the latter. Besides the phase of the form-factor, the representation includes explicitly the values of the form-factor in $N$ real points not belonging to the cut. Additional conditions on the phase of the form-factor are found which guarantee the decreasing asymptotics of the form $F(z)=O(z^{-1})$.