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## Homework Statement

calculate the inverse fourier transform of [tex]\left( a^2 + \left( bk \right)^2 \right)^{-1}[/tex]

## The Attempt at a Solution

I know that [tex]FT[e^{-|x|)}](k) = ( \pi (k^2 + 1 ) )^{-1}[/tex]. I've tried to to concatenate the shift FT or the strech FT, but the "+1" in the known FT is in the way.

Sorry for my bad English, it's not my native language.

thanks.