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Generalized Orbital Integrals of Some Euler–Poincaré Functions of a Reductive p-Adic Group

✍ Scribed by Hi-joon Chae; Ja Kyung Koo


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
96 KB
Volume
235
Category
Article
ISSN
0021-8693

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✦ Synopsis


Schneider and Stuhler have defined Euler᎐Poincare functions of irreducible ŕepresentations of reductive p-adic groups and calculated their orbital integrals. Orbital integrals belong to a larger family of invariant distributions appearing in the geometric side of the Arthur᎐Selberg trace formula. We calculate the value of these distributions on the Euler᎐Poincare functions of tempered representations úsing the Arthur local trace formula.