数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 21-28.
Anton Deitmar
Anton Deitmar
摘要:
Let G be the semidirect product A1×A of the adeles and the norm 1 ideles of a global field k. Let ?? be the discrete subgroup k××k. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L2(?? \G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.
中图分类号: