Les formules des traces relatives de Jacquet-Rallis grossi\`eres
Number Theory
2015-10-16 v1 Representation Theory
Abstract
We establish the coarse relative trace formulae of Jacquet-Rallis for linear and unitary groups. Both formulae are of the form: a sum of spectral distributions equals a sum of geometric distributions. In order to obtain the spectral decompositions we introduce new truncation operators and we investigate their properties. On the geometric side, by means of the Cayley transform, the decompositions are derived from a procedure of descent to the tangent spaces for which the formulae are known thanks to our previous work.
Keywords
Cite
@article{arxiv.1510.04301,
title = {Les formules des traces relatives de Jacquet-Rallis grossi\`eres},
author = {Michał Zydor},
journal= {arXiv preprint arXiv:1510.04301},
year = {2015}
}
Comments
in French