Harmonic Analysis on Reductive, p-adic Groups

The 11 papers consider the analysis of complex-valued functions and distributions on p-adic groups, but not p-adic-valued functions. The underlying goal is to develop a theory of harmonic analysis for functions and distributions on p-adic groups to parallel the corresponding theory for real groups. The authors had an opportunity to revise their papers, but most stayed close to their talk. Among the topics are toward a Mackay formula for the compact restriction of character sheaves, constructing Hecke algebras associated to a Coxeter group, regularity and distinction of supercuspidal representations, and parametrizing nilpotent orbits in p-adic symmetric spaces. There is no index. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)