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We would like to know the 2-D Fourier transform
of 1/*r*.
Everywhere I found tables of 1-D Fourier transforms but only
one place did I find a table that included this 2-D Fourier transform.
It was at
http://www.ph.tn.tudelft.nl/Courses/FIP/noframes/fip-Statisti.html
Sergey Fomel showed me how to work it out:
Express the FT in radial coordinates:

| |
(1) |

| (2) |

To evaluate the integral, we use the fact that
where *x*_{0} is defined by *f*(*x*)=0
and the definition
.
| |
(3) |

| (4) |

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Stanford Exploration Project

4/27/2000