I need to find IFT of : H(ω)= $1/(ω^2+a^2)^2$
This H(ω) = $(2a/(ω^2+a^2)) . (2a/(ω^2+a^2)) . (1/4a^2)$
IFT of $(2a/(ω^2+a^2))$ is a two-sided exponential function.... so to find IFT of H(ω), I need to find convolution of two-sided exponential function?
This is how I should go about? If yes, how to find the convolution of of two-sided exponential function with itself??