Fourier transform of a 2D analogue of sech

From: "IanM" <iwrmartin@xxxxxxxxx>
Date: 13 Feb 2007 14:13:03 -0800

Hi everyone,

It's easy to calculate the Fourier transform of

1/[ exp(x) + exp(-x) ]

--- in fact sech is its own Fourier transform (ignoring 2 pi-like
multiples). I'm wondering whether anyone knows if there's an easy way
to attack a two-dimensional analogue of this, namely

1/[ exp(x) + exp(y) + exp(-x-y) ]

?

Any advice will be very gratefully received!

Best,
Ian

.

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