The local character expansion near a tame, semisimple element
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Consider the character of an irreducible admissible representation of a p-adic reductive group. The Harish-Chandra-Howe local expansion expresses this character near a semisimple element as a linear combination of Fourier transforms of nilpotent orbital integrals. Under mild hypotheses, we describe an explicit region on which the local character expansion is valid. We assume neither that the group is connected nor that the underlying field has characteristic zero.
20 pages; final version; reference and comments updated; section and bibliography order changed; one typo corrected
20 pages; final version; reference and comments updated; section and bibliography order changed; one typo corrected