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I try to find double inverse Fourier transform of $\;\exp\left({A \large\frac{\varepsilon^2 \xi^2+\eta^2}{\xi^2+\eta^2}}\right)$ where A is constant, $\varepsilon$ is possitive number and $\xi$ and $\eta$ is Fourier parameters.I check out Fourier table but there isn't a Fourier or inverse Fourier transform correspond to this transform. Does anyone have a idea for evaluate inverse Fourier of this function?

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