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The characters of supercuspidal representations as weighted orbital integrals

  • James Arthur
Article

Abstract

Weighted orbital integrals are the terms which occur on the geometric side of the trace formula. We shall investigate these distributions on ap-adic group. We shall evaluate the weighted orbital integral of a supercuspidal matrix coefficient as a multiple of the corresponding character.

Keywords

Supercuspidal representation weighted orbital integrals 

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References

  1. [1]
    Arthur J, The characters of discrete series as weighted orbital integrals,Invent. Math. 32 (1976) 205–261zbMATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    Arthur J, A trace formula for reductive groups I: terms associated to classes in G(ℚ),Duke Math. J. 45(1978)911–952CrossRefMathSciNetGoogle Scholar
  3. [3]
    Arthur J, The trace formula in invariant form,Ann. Math. 114 (1981) 1–74CrossRefMathSciNetGoogle Scholar
  4. [4]
    Arthur J, On a family of distributions obtained from Eisenstein series II: Explicit formulas,Am. J. Math. 104(1982) 1289–1336zbMATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    Harish-Chandra,Harmonic analysis on reductive p-adic groups,Lecture Notes in Math., No. 162 (Berlin, Heidelberg: Springer Verlag) (1970)Google Scholar
  6. [6]
    Waldspurger J L, A propos des integrales orbitales pourGL,(N), preprintGoogle Scholar

Copyright information

© Indian Academy of Sciences 1987

Authors and Affiliations

  • James Arthur
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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