Toronto Math Forum
APM346-2015S => APM346--Home Assignments => HA6 => Topic started by: Victor Ivrii on March 05, 2015, 08:35:42 AM
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Let $\alpha >0$. Find Fourier transforms of
a. $(x^2+\alpha^2)^{-1}$;
b. $x(x^2+\alpha^2)^{-1}$;
c. $(x^2+\alpha^2)^{-1}\cos (\beta x)$, $(x^2+\alpha^2)^{-1}\sin(\beta x)$;
d. $x(x^2+\alpha^2)^{-1}\cos (\beta x)$, $x(x^2+\alpha^2)^{-1}\sin(\beta x)$.
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