Harmonic Analysis on Reductive Groups

by William H. Barker

Lifting of Characters.- Handling the Inverse Spherical Fourier Transform.- Some Problems in Local Harmonic Analysis.- Asymptotic Expansions on Symmetric Spaces.- The Admissible Dual of GLn via Restriction to Compact Open Subgroups.- Invariant Harmonic Analysis on the Schwartz Space of a Reductive p-Adic Group.- Constructing the Supercuspidal Representations of GLN(F),F p-Adic.- A Remark on the Dunkl Differential Difference Operators.- Invariant Differential Operators and Weyl Group Invariants.- The Schwartz Space of a Semisimple Lie Group.- Intertwining Functors and Irreducibility of Standard Harish-Chandra Sheaves.- Fundamental G-Strata.- Construction and Classification of Irreducible Harish-Chandra Modules.- Langlands' Conjecture on Plancherel Measures for p-Adic Groups.- Transfer and Some Recent Results.- On Jacquet Models of Induced Representations of p-Adic Symplectic Groups.- Associated Varieties and Unipotent Representations.

388 pages, Hardcover