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Nov 15, 2017 at 3:39 comment added fedja @user38858 Sure, but a bit later. It is not difficult if you know some high-tech though I don't have an elementary solution.
Nov 11, 2017 at 2:34 history edited user38858 CC BY-SA 3.0
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Nov 11, 2017 at 2:33 comment added user38858 @fedja Care to elaborate?
Nov 9, 2017 at 13:27 comment added fedja No, the disk is the only such shape.
Aug 22, 2013 at 23:58 comment added user38858 Thanks. I will read the wikipedia page on Radon transforms and perhaps that will make it obvious.
Aug 20, 2013 at 17:44 comment added Anton Petrunin The same question appeared in the comments here: mathoverflow.net/questions/6964/egalitarian-measures no answer was given.
Aug 20, 2013 at 4:17 review Close votes
Aug 20, 2013 at 5:48
Aug 20, 2013 at 4:07 review First posts
Aug 20, 2013 at 4:24
Aug 20, 2013 at 3:50 history asked user38858 CC BY-SA 3.0