ScalingStacks

\propname 3.10.5 . [01QY]

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\propname 3.10.5.

On a ∫Y|ω|=∫X𝟏Y​|ω|\int_{Y}\mathopen{|}{\omega}\mathclose{|}=\int_{X}{\bf 1}_{Y}\mathopen{|}{\omega}\mathclose{|}, et ∫Yω=∫X𝟏Y​ω\int_{Y}\omega=\int_{X}{\bf 1}_{Y}\omega dans le cas intégrable.

On a ∫U|ω|=∫X𝟏U​|ω|\int_{U}\mathopen{|}{\omega}\mathclose{|}=\int_{X}{\bf 1}_{U}\mathopen{|}{\omega}\mathclose{|}, et ∫Uω=∫X𝟏U​ω\int_{U}\omega=\int_{X}{\bf 1}_{U}\omega dans le cas intégrable.

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