Spectral Theory for Sl 2 (z)\sl 2 (r)/so 2 (r)
نویسنده
چکیده
We will restrict out attention to the simplest possible case, namely G = SL2(R), Γ = SL2(Z), and right K = SO(2)-invariant functions on Γ\G. That is, we neglect the finite primes and holomorphic automorphic forms. Let N be the subgroup of G consisting of upper-triangular unipotent matrices, and P the parabolic subgroup consisting of all upper-triangular matrices. For simplicity we give K total measure 1, rather than 2π. This will account for some discrepancies between formulas below and their analogues in other sources.
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