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Jun 30, 2017 at 11:49 history edited Abdelmalek Abdesselam CC BY-SA 3.0
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Jun 29, 2017 at 19:42 history edited paul garrett CC BY-SA 3.0
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Jun 29, 2017 at 19:38 comment added paul garrett @JeanDuchon, oops! you're correct! So, the argument I sketched then proves the impossibility... Thanks for your observation! I will add a correction...
Jun 29, 2017 at 19:34 comment added Jean Duchon I think you forgot the |.|, your construction gives $\int\int\varphi_1(x)\varphi_2(y)/(x-y)\ dx\ dy$
Jun 29, 2017 at 18:50 history answered paul garrett CC BY-SA 3.0