Reductive lie groups/ Michael Greco ed.

Includes bibliography

Introduction -- Orbital integrals on reductive lie group -- Orbital integrals on reductive lie algebras -- Orbital integrals on Cuspidal forms -- Integrals functional and special functions on lie groups and lie algebras -- Integral transforms on lie groups and lie algebras -- Some examples of orbital integrals into representation theory on field theory and integral geometry -- Interwinning operators -- Gohomological induction and securing of generalized G-modules by G(w)- Orbits to infinite diensional representations of lie groups -- Some applications in the study of harmonic analysis -- Integral formulas on canonical p-Pairs -- Regularity on a lie algebra

This book presents an extensive analysis of reductive lie groups. The aim of this profound book is to provide a comprehensive course on the topics of global study and establish certain orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.