- #1
eljose
- 492
- 0
let be the equality where "*" is complex conjugation...z=a+ib but z*=a-ib with a and b real, then:
[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.
[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.