Some Orbital Integrals and a Technique for Counting Representations of GL 2(F)
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 431-448

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Let F be a local field of characteristic zero, with q elements in its residue field, ring of integers uniformizer ωF and maximal ideal . Let GF = GL2(F). We fix Haar measures dg and dz on GF and ZF, the centre of GF, so thatmeas(K) = meas where K = GL2() is a maximal compact subgroup of GF. If T is a torus in GF we take dt to be the Haar measure on T such thatmeans(TM)=1where TM denotes the maximal compact subgroup of T.
Callahan, T. Some Orbital Integrals and a Technique for Counting Representations of GL 2(F). Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 431-448. doi: 10.4153/CJM-1978-037-3
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