The Schwartz algebra of an affine Hecke algebra
Representation Theory
2007-05-23 v1
Abstract
For a general affine Hecke algebra H we study its Schwartz completion S. The main theorem is an exact description of the image of S under the Fourier isomorphism. An important ingredient in the proof of this result is the definition and computation of the constant terms of a coefficient of a generalized principal series representation. Finally we discuss some consequences of the main theorem for the theory of tempered representations of H.
Keywords
Cite
@article{arxiv.math/0312517,
title = {The Schwartz algebra of an affine Hecke algebra},
author = {Patrick Delorme and Eric Opdam},
journal= {arXiv preprint arXiv:math/0312517},
year = {2007}
}