This page uses JavaScript to progressively load the article content as a user scrolls. Screen reader users, click the load entire article button to bypass dynamically loaded article content. JavaScript is disabled on your browser. Please enable JavaScript to use all the features on this page. This page uses JavaScript to progressively load the article content as a user scrolls. Click the View full text link to bypass dynamically loaded article content. is almost injective. Not every integrable function has a polar factorisation, we introduce a class of counterexamples. It is further shown that if est une application conservant la mesure. On démontre que la factorisation est unique (c’est à dire l’application conservant la mesure est presque injectif. Les applications sommables ne possèdent pas toujours les factorisations polaires , on introduit des contre-examples. On prouve aussi que si J.-D. Benamou, Transformation conservant la mesure, mécanique des fluides incompressibles et modèle semi-géostrophique en météorologie, Thèse de 3ème cycle, Université de Paris IX-Dauphine, 1992 Copyright © 2016 Elsevier B.V. or its licensors or contributors. ScienceDirect® is a registered trademark of Elsevier B.V. Source.