Clarification required for the proof of Riemann Lebesgue Lemma

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Riemann Lebesgue Lemma Proof.

In the proof given above, I came across an unfamiliar notation $g= \sum m_i \chi_{[x_i-1,x_i]}$. What does the $\chi$ mean here? Is it the characteristic function of the set $[x_i-1,x_i]$?

Please clarify in detail.