I'm stuck on the following problem :
Does there exist a real borel measure $\mu$ on $[0,1]$ such that
$$\int_{0}^{1}x^n d\mu = e^{-n^2}$$ for all $n \geq 1$ ?
Does anyone have any hint?
Thank you
I'm stuck on the following problem :
Does there exist a real borel measure $\mu$ on $[0,1]$ such that
$$\int_{0}^{1}x^n d\mu = e^{-n^2}$$ for all $n \geq 1$ ?
Does anyone have any hint?
Thank you