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Summary: JOURNAL OF THE
AMERICAN MATHEMATICAL SOCIETY
Volume 1 , Number 2, APRIL 1988
THE INVARIANT TRACE FORMULA. I.
LOCAL THEORY
JAMES ARTHUR
CONTENTS
Introduction
Invariant harmonic analysis
The invariant distributions Iu(y}
The invariant distributions I (n,X )M
Some further maps and distributions
A contour integral
Reduction of induction hypotheses
A property of (G,M)-families
Descent
Splitting
The example of GL(n) . Local vanishing properties
Appendix. Convex polytopes
INTRODUCTION
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