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broken image fixed (click 'rendered output' to see the difference); for more info, see https://meta.mathoverflow.net/a/4058/70594
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edit approved Feb 24, 2019 at 9:10
Glorfindel
edit approved Feb 24, 2019 at 9:10
Glorfindel
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alt text http://vmm.math.uci.edu/graph.jpgalt text
(source: uci.edu)

No, consider a function $f$ with a graph something like the above for example. (Pardon the rough sketch:-) When you mollify it the minimum at the origin will rise and become greater that the value of the mollified function away from the origin.

alt text http://vmm.math.uci.edu/graph.jpg

No, consider a function $f$ with a graph something like the above for example. (Pardon the rough sketch:-) When you mollify it the minimum at the origin will rise and become greater that the value of the mollified function away from the origin.

alt text
(source: uci.edu)

No, consider a function $f$ with a graph something like the above for example. (Pardon the rough sketch:-) When you mollify it the minimum at the origin will rise and become greater that the value of the mollified function away from the origin.

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Dick Palais
Dick Palais
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alt text http://vmm.math.uci.edu/graph.jpg

No, consider a function $f$ with a graph something like the above for example. (Pardon the rough sketch:-) When you mollify it the minimum at the origin will rise and become greater that the value of the mollified function away from the origin.