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I have an analysis exercise and I have literally no idea where to start or even a solid comprehension of what the question is. The exercise is as follows:

Unique solution for integral

Now, if I am correct, $\left| \Phi(f)(x)-\Phi(g)(x) \right|= d_{\mu}(\Phi(f),\Phi(g))$, right? And it just means the distance between the two points.

I don't think it is needed but just in case, this is the referred to exercise 6.23:

exercise 6.23

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