Obiettivo The topic of this proposal is a structured extension of abstract harmonic analysis and covariant/contravariant transforms over homogeneous spaces of locally compact groups. We are going to develop a systematic framework to study the structure and properties of convolution-type operators associated to locally compact groups, both from a theoretical perspective and in application to geometric analysis, operator theory and mathematical physics.The first objective is to present the abstract notion of relative dual space for homogeneous spaces. Then we present the theory of relative Fourier analysis over these homogeneous spaces by applying the the abstract theory of relative dual space. Finally, we explore a general model of covariant/contravariant analysis over homogeneous spaces. The entire project will be an important contribution to the field of abstract harmonic analysis, harmonic analysis, geometric analysis andtheoretical physics, presenting a unified perspective on the structure of these homogeneous spaces. Applications to symbolic calculus of operators and quantum information theory will be explored.The Fellow will gain new skills and experience in applications of his knowledge in mathematical physics and other areas. Progress in this ambitious project will reinforce Fellow's reputation and support him in obtaining a strong academic position. The host will gain from Fellow's expertise, on the representation theory/abstract harmonic analysis border, which Fellow has developed from his tree-year PostDoc in Vienna--the one of world's leading wavelets groups. Campo scientifico natural sciencesphysical sciencesquantum physicsnatural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencesphysical sciencestheoretical physics Programma(i) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Argomento(i) MSCA-IF-2017 - Individual Fellowships Invito a presentare proposte H2020-MSCA-IF-2017 Vedi altri progetti per questo bando Meccanismo di finanziamento MSCA-IF-EF-ST - Standard EF Coordinatore UNIVERSITY OF LEEDS Contribution nette de l'UE € 183 454,80 Indirizzo WOODHOUSE LANE LS2 9JT Leeds Regno Unito Mostra sulla mappa Regione Yorkshire and the Humber West Yorkshire Leeds Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 183 454,80
