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Let $f$ be a continuous but nowhere differentiable function. Is $f$ convolved with mollifier, a smooth function?

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    the derivative operation commutes over the integral (of convolution) but i get two different scenarios when i change the order of convolution, i.e f*moll or moll*f ?2010-11-02
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    Yes, this is actually a very important property of mollifiers (maybe the most important?). Do you know what an approximate identity is? You can approximate your function with the mollified version which often has much nicer properties.2010-11-02

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