The term "maximal function" can refer to different concepts in various fields, such as mathematics, signal processing, and functional analysis. However, one of the most common contexts in which the term is used is in relation to **harmonic analysis** and **real analysis**. ### Maximal Function in Harmonic Analysis In harmonic analysis, the **Hardy-Littlewood maximal function** is a very important tool used to study functions and their convergence properties.
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