Elements of measurement theory
Bounded Variation Functions
Article REF: AF109 V1
Elements of measurement theory
Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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2. Elements of measurement theory

Measure theory plays an important role in both fundamental and applied aspects of functions with bounded variations. The fine analysis of these functions requires precise notions of measure theory. The aim of this section is to recall at least the notions useful for this article [AF 213] .

2.1 σ-algebras and measures

Let E be any non-empty set. Given a σ-algebra E...

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