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Apr 9, 2014 at 19:14 vote accept Bjørn Kjos-Hanssen
Apr 9, 2014 at 19:05 comment added Pietro Majer Yep. You can also take it if the form $\phi(x,y)=\psi(x)\psi(y)$ as above.
Apr 9, 2014 at 18:35 comment added Bjørn Kjos-Hanssen Is $\phi$ a function of 2 variables?
Apr 8, 2014 at 21:16 history edited Pietro Majer CC BY-SA 3.0
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Apr 8, 2014 at 21:06 comment added Pietro Majer Yes, say $\phi(x)=c\exp(-1/(1-|4x|^2))$ if $|x|<1/4$, and $0$ otherwise.
Apr 8, 2014 at 19:51 comment added Bjørn Kjos-Hanssen Is $\phi$ just a bump function like $e^{-1/x^2}$?
Apr 8, 2014 at 19:08 history edited Pietro Majer CC BY-SA 3.0
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Apr 8, 2014 at 18:58 history edited Pietro Majer CC BY-SA 3.0
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Apr 8, 2014 at 18:27 history edited Pietro Majer CC BY-SA 3.0
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Apr 8, 2014 at 17:27 history undeleted Pietro Majer
Apr 8, 2014 at 17:27 history deleted Pietro Majer via Vote
Apr 8, 2014 at 17:26 history answered Pietro Majer CC BY-SA 3.0