Published online by Cambridge University Press: 20 November 2018
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 that
meas(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 that
means(TM)=1
where TM denotes the maximal compact subgroup of T.