Summary: PARABOLIC TRANSFER FOR REAL GROUPS
§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.
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
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-