证明:F/(x)=f(x ∫e"(x) e o f(re- f(x ) de 10x 当1对→时 Cf(eadx =10F[(x) d f[r"()=F|r(x) 设f(x)=g(x) dx FIg(x)证明： F f (x ) f (x )e dx -iwx ¥ ò-¥ [ ¢ ] = ¢ ( ) ò ¥ - ¥ - = e df x iw x ( ) i x i x e f x f x de w - w ¥ - ¥ ¥ - ¥ - = - ò ( ) ( )® 0 ® ¥ f x Q当 x 时 ( ) ò ¥ -¥ - = i f x e dx iwx w = iwF[f (x)] [ ( )] ( )ú û ù ê ë é ¢¢ = f ¢ x dx d F f x F 设 f ¢(x ) = g (x ) F [g ¢(x )]