Lie Theory: Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems (2005)

Harmonic Analysis on Symmetric Spaces--General Plancherel Theorems presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces. Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, it provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required.