The Local Behaviour of Weighted Orbital Integrals

@inproceedings{Arthur1988TheLB,
  title={The Local Behaviour of Weighted Orbital Integrals},
  author={James Arthur},
  year={1988}
}
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… CONTINUE READING
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