let be the equality where "*" is complex conjugation....z=a+ib but z*=a-ib with a and b real, then:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{c}dxf(x)g(x)=\int_{0}^{c}dxf(x)[g(x)]* [/tex]

with c a real number then my question is if the equality above implies necessarily that:

[tex] g(x)=[g(x)]* [/tex] so g is real where:

-f(x)>0 or 0 on the interval (0,c) and f is a real-valued function.

-c is an arbitrary and positive real number.

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# Complex conjugation equality problem

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