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PARABOLIC TRANSFER FOR REAL GROUPS James Arthur*
 

Summary: PARABOLIC TRANSFER FOR REAL GROUPS
James Arthur*
Contents
Introduction
1 Statement of the theorem
2 Stabilization of the differential equations
3 Stabilization of elliptic boundary conditions
4 Stabilization of parabolic boundary conditions
5 Stabilization of the asymptotic formula
6 Proof of the theorem
* Supported in part by NSERC Operating Grant A3483.
1
Introduction
This paper is the second of two articles in real harmonic analysis. In the first paper
[A14], we established asymptotic formulas for some natural distributions on a real group.
In this paper we shall establish important relationships among the distributions, as the
group varies.
The group is the set of real points of a connected reductive group G over R. The distri-
butions are weighted orbital integrals JM (, f) on G(R), and their invariant counterparts
IM (, f). Here, M G is a Levi subgroup of G, while MG-reg(R) is a strongly G-

  

Source: Arthur, James G. - Department of Mathematics, University of Toronto

 

Collections: Mathematics