[itex]f(x) = e^{x} f(-x)[/itex] with f(x) > 0(adsbygoogle = window.adsbygoogle || []).push({});

Is there anything I can say about the general shape of this function (defined on the real axis)? For example the formula gives the derivative of f in zero in terms of f(0) (which is okay assuming I'm only interested in f up to a multiplicative constant).

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# What can I say about this simple functional equation?

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