Lie theory II: Harmonic analysis on symmetric spaces - general Plancherel theorems

Jean-Philippe Anker (1) , Bent Orsted (2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 IMF - Institut for Matematiske Fag

Erik P. van den Ban: The Plancherel theorem for a reductive symmetric space; Henrik Schlichtkrull: The Paley-Wiener theorem for a reductive symmetric space; Patrick Delorme: The Plancherel formula on reductive symmetric spaces from the point of view of the Schwartz space

Mots clés: (semisimple) Lie groups; (semisimple) Lie algebras; (locally) symmetric spaces; compactifications; harmonic analysis

Domaines: Théorie des groupes [math.GR]; Théorie des représentations [math.RT]; Algèbres quantiques [math.QA]; Géométrie différentielle [math.DG]; Analyse classique [math.CA]

Jean-Philippe Anker, Bent Orsted. Lie theory II: Harmonic analysis on symmetric spaces - general Plancherel theorems. Birkhäuser, viii+175 pp, 2005. ⟨hal-00022967⟩