Timeline for If $f$ is smooth and even then there exists a smooth function $g$ such that $f(x)=g(x^2)$
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Sep 5, 2013 at 17:34 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Aug 10, 2011 at 7:56 | comment | added | Pietro Majer | (on the integral formula: by density, it suffices to prove it for polynomials, and by linearity, it suffices to consider $f(x)=x^n$. Substituting $s:=t^2/x^2$ in the integral, the identity reduces to the classical relation between the Beta and the Gamma functions). | |
| Aug 10, 2011 at 7:38 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Aug 10, 2011 at 7:28 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Aug 10, 2011 at 6:42 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Aug 9, 2011 at 21:12 | history | answered | Pietro Majer | CC BY-SA 3.0 |