Constructive decomposition of any \(L^1(a, b)\) function as sum of a strongly convergent series of integrable functions each one positive or negative exactly in open sets (Q6159754)
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scientific article; zbMATH DE number 7699364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive decomposition of any \(L^1(a, b)\) function as sum of a strongly convergent series of integrable functions each one positive or negative exactly in open sets |
scientific article; zbMATH DE number 7699364 |
Statements
Constructive decomposition of any \(L^1(a, b)\) function as sum of a strongly convergent series of integrable functions each one positive or negative exactly in open sets (English)
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20 June 2023
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positivity sets and negativity sets of a Lebesgue integrable function
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cap functions and cup functions
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Sobolev functions
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locally monotone absolutely continuous functions
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