Calculate pushforward of Lebesgue measure on interval $(0, \infty)$ along function $h$ defined as $h(x) = x - 2^n$ for $2^n \leq x < 2^{n+1}, n \in \mathbb{Z}$. Is it absolute continuous regardless of Lebesgue measure? If it is, i have to calculate its Radon-Nikody derivative. Thank you for any help.
2026-04-25 10:58:06.1777114686
Pushforward of Lebesgue measure
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