code class$=$"asciimath"$>$Problem $6\mathrm{.}1$ Consider a real function h$($t$)$ whose Fourier transform H$($f$)$H$($f$)$ is the convolution of an ideal low$-$pass filter limited to $(1)/(2$T$^(\text{'}))$Hz with itself.H$($f$)$ Does H$($f$)$ satisfy the Nyquist criterion for any T $?$