Weakly contact transforms and the change of variables on nilpotent groups (Q1363922)
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scientific article; zbMATH DE number 1050632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly contact transforms and the change of variables on nilpotent groups |
scientific article; zbMATH DE number 1050632 |
Statements
Weakly contact transforms and the change of variables on nilpotent groups (English)
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12 November 1997
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Let \(G\) be a simply connected stratified nilpotent Lie group, and let \(E\) be a measurable subset of \(G\). The authors present certain conditions for a map \(f: E\to G\) to have a \({\mathcal P}\)-differential or to satisfy the formula for the change of variables in Lebesgue's integral.
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Simply connected nilpotent Lie group
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stratified group
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Carnot-Caratheodory distance
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