Objectif The general goal of this project is to study the properties of the voice transforms generated by the representations of a given locally compact topological group, to reveal the details and understand the mathematical principles that govern the approximation of functions using discrete frames and wavelets, Zernike functions, spherical functions, construction of multiresolution decompositions. Applications of these processes will be considered. In the theoretical analysis we will focus on particular examples of voice transforms and the study of the properties of these transforms. One aim will be the constructions of discrete rational wavelets and frames. After the theoretical development the numerical aspects will be also studied using the MATLAB and MATHEMATICA. Our aim is to study properties which are outlined in the general theory developed by Feichtinger and Gröchenig in the case of the voice transforms generated by the representations of the Blaschke group, and other groups, generated by other representations. Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) FP7-PEOPLE-2009-IEF - Marie Curie Action: "Intra-European Fellowships for Career Development" Appel à propositions FP7-PEOPLE-2009-IEF Voir d’autres projets de cet appel Régime de financement MC-IEF - Intra-European Fellowships (IEF) Coordinateur UNIVERSITAT WIEN Contribution de l’UE € 217 673,60 Adresse UNIVERSITATSRING 1 1010 Wien Autriche Voir sur la carte Région Ostösterreich Wien Wien Type d’activité Higher or Secondary Education Establishments Contact administratif Hans Georg Feichtinger (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée