Let $x_c(t)$ be a continuous $-$ time signal whose Fourier transform has the property that $x_c(jw)=0$ for $lwl2,0001T.$ A discrete $-$ time signal $xd[n]=xc(n(0\mathrm{.}510-3))$ is obtained. For each of the following constraints on the Fourier transform $xd($ejw$)$ of $xd[n],$ determine the corresponding constraint on $x_c(jw)$:$(a)x_d(ejw)$ is real. $($b$)$ The maximum value of $)$ over all $w$ is $1.($c$)$ ejw$)=0$ for $3$;cdots;$|w|dots$;$1T.($d$)$ ejw