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Theoretical issues and applications of the Selberg, Arthur and relative trace formulas
7
votes
0
answers
127
views
Bound for orbital integrals
Let $F$ be a number field, and $G$ be the group of units of a quaternion algebra $D$ over $F$. At a certain ramified place $v$, for $\gamma_v \in G(F_v)$, could we bound the orbital integral
$$\mathca …
6
votes
1
answer
253
views
Divergence of integrals in the trace formula
I am trying to understand the following situation for $G=GL(2)$, when going from the compact trace formula to the non-compact case.
The integral over $G(\mathbb{A})^1_\gamma \backslash G(\mathbb{A})^1 …