The Local Behaviour of Weighted Orbital Integrals
نویسنده
چکیده
are obtained by integrating f with respect to the invariant measure on the conjugacy class of y. They are of considerable importance for the harmonic analysis of G(F). Invariant orbital integrals are also of interest because they occur on the geometric side of the trace formula, in the case of compact quotient. For the general trace formula, the analogous terms are weighted orbital integrals [3]. They are obtained by integrating f over the conjugacy class of y, but with respect to a measure which is not in general invariant. Weighted orbital integrals may also play a role in the harmonic analysis of G(F), but this is not presently understood. Our purpose here is to study the weighted orbital integrals as functions of y. In particular, we shall show that they retain some of the basic properties of ordinary orbital integrals. Recall a few of the main features of the invariant orbital integrals. If F is an Archimedean field, they satisfy the differential equations
منابع مشابه
On the Transfer of Distributions: Weighted Orbital Integrals
0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209 1. Multiple groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 2. K-groups and transfer factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 3. ...
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تاریخ انتشار 1988